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Finding the Fourth Proportional to 157,390.24, 217,044.22 and 99,929.80

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Solution

The fourth proportional to 157,390.24, 217,044.22 and 99,929.80 is: 137,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,390.24 : 217,044.22 = 99,929.80 : x
  2. Step 2: Convert to fraction form
    157,390.24/217,044.22 = 99,929.80/x
  3. Step 3: Cross multiply
    157,390.24x = 217,044.22 × 99,929.80
  4. Step 4: Simplify right side
    157,390.24x = 21,689,185,495.76
  5. Step 5: Solve for x
    x = 21,689,185,495.76/157,390.24
  6. Step 6: Final answer
    x = 137,805.15

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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.