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Finding the Fourth Proportional to 157,940.28, 217,806.80 and 103,411.08

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Solution

The fourth proportional to 157,940.28, 217,806.80 and 103,411.08 is: 142,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,940.28 : 217,806.80 = 103,411.08 : x
  2. Step 2: Convert to fraction form
    157,940.28/217,806.80 = 103,411.08/x
  3. Step 3: Cross multiply
    157,940.28x = 217,806.80 × 103,411.08
  4. Step 4: Simplify right side
    157,940.28x = 22,523,636,419.34
  5. Step 5: Solve for x
    x = 22,523,636,419.34/157,940.28
  6. Step 6: Final answer
    x = 142,608.56

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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.