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Finding the Fourth Proportional to 157,042.66, 216,757.37 and 89,099.41

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Solution

The fourth proportional to 157,042.66, 216,757.37 and 89,099.41 is: 122,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,042.66 : 216,757.37 = 89,099.41 : x
  2. Step 2: Convert to fraction form
    157,042.66/216,757.37 = 89,099.41/x
  3. Step 3: Cross multiply
    157,042.66x = 216,757.37 × 89,099.41
  4. Step 4: Simplify right side
    157,042.66x = 19,312,952,386.34
  5. Step 5: Solve for x
    x = 19,312,952,386.34/157,042.66
  6. Step 6: Final answer
    x = 122,979.02

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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.