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Finding the Fourth Proportional to 157,116.63, 216,825.85 and 89,136.47

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Solution

The fourth proportional to 157,116.63, 216,825.85 and 89,136.47 is: 123,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,116.63 : 216,825.85 = 89,136.47 : x
  2. Step 2: Convert to fraction form
    157,116.63/216,825.85 = 89,136.47/x
  3. Step 3: Cross multiply
    157,116.63x = 216,825.85 × 89,136.47
  4. Step 4: Simplify right side
    157,116.63x = 19,327,090,873.75
  5. Step 5: Solve for x
    x = 19,327,090,873.75/157,116.63
  6. Step 6: Final answer
    x = 123,011.11

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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.