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Finding the Fourth Proportional to 157,892.54, 217,891.76 and 85,295.45

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Solution

The fourth proportional to 157,892.54, 217,891.76 and 85,295.45 is: 117,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,892.54 : 217,891.76 = 85,295.45 : x
  2. Step 2: Convert to fraction form
    157,892.54/217,891.76 = 85,295.45/x
  3. Step 3: Cross multiply
    157,892.54x = 217,891.76 × 85,295.45
  4. Step 4: Simplify right side
    157,892.54x = 18,585,175,838.74
  5. Step 5: Solve for x
    x = 18,585,175,838.74/157,892.54
  6. Step 6: Final answer
    x = 117,707.76

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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.