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Finding the Fourth Proportional to 157,713.24, 217,641.47 and 89,728.76

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Solution

The fourth proportional to 157,713.24, 217,641.47 and 89,728.76 is: 123,824.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,713.24 : 217,641.47 = 89,728.76 : x
  2. Step 2: Convert to fraction form
    157,713.24/217,641.47 = 89,728.76/x
  3. Step 3: Cross multiply
    157,713.24x = 217,641.47 × 89,728.76
  4. Step 4: Simplify right side
    157,713.24x = 19,528,697,690.83
  5. Step 5: Solve for x
    x = 19,528,697,690.83/157,713.24
  6. Step 6: Final answer
    x = 123,824.09

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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.