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Finding the Fourth Proportional to 172,346.68, 258,523.26 and 54,015.40

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Solution

The fourth proportional to 172,346.68, 258,523.26 and 54,015.40 is: 81,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,346.68 : 258,523.26 = 54,015.40 : x
  2. Step 2: Convert to fraction form
    172,346.68/258,523.26 = 54,015.40/x
  3. Step 3: Cross multiply
    172,346.68x = 258,523.26 × 54,015.40
  4. Step 4: Simplify right side
    172,346.68x = 13,964,237,298.20
  5. Step 5: Solve for x
    x = 13,964,237,298.20/172,346.68
  6. Step 6: Final answer
    x = 81,024.12

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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.