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Finding the Fourth Proportional to 114,985.40, 172,478.10 and 83,881.40

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Solution

The fourth proportional to 114,985.40, 172,478.10 and 83,881.40 is: 125,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,985.40 : 172,478.10 = 83,881.40 : x
  2. Step 2: Convert to fraction form
    114,985.40/172,478.10 = 83,881.40/x
  3. Step 3: Cross multiply
    114,985.40x = 172,478.10 × 83,881.40
  4. Step 4: Simplify right side
    114,985.40x = 14,467,704,497.34
  5. Step 5: Solve for x
    x = 14,467,704,497.34/114,985.40
  6. Step 6: Final answer
    x = 125,822.10

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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.