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Finding the Fourth Proportional to 172,906,009.40, 259,359,014.10 and 172,906,009.40

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Solution

The fourth proportional to 172,906,009.40, 259,359,014.10 and 172,906,009.40 is: 259,359,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,906,009.40 : 259,359,014.10 = 172,906,009.40 : x
  2. Step 2: Convert to fraction form
    172,906,009.40/259,359,014.10 = 172,906,009.40/x
  3. Step 3: Cross multiply
    172,906,009.40x = 259,359,014.10 × 172,906,009.40
  4. Step 4: Simplify right side
    172,906,009.40x = 44,844,732,129,949,336
  5. Step 5: Solve for x
    x = 44,844,732,129,949,336/172,906,009.40
  6. Step 6: Final answer
    x = 259,359,014.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.