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Finding the Fourth Proportional to 157,354.71, 217,177.59 and 92,820

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Solution

The fourth proportional to 157,354.71, 217,177.59 and 92,820 is: 128,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,354.71 : 217,177.59 = 92,820 : x
  2. Step 2: Convert to fraction form
    157,354.71/217,177.59 = 92,820/x
  3. Step 3: Cross multiply
    157,354.71x = 217,177.59 × 92,820
  4. Step 4: Simplify right side
    157,354.71x = 20,158,423,903.80
  5. Step 5: Solve for x
    x = 20,158,423,903.80/157,354.71
  6. Step 6: Final answer
    x = 128,108.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.