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Finding the Fourth Proportional to 159,728.65, 220,496.39 and 103,167.61

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Solution

The fourth proportional to 159,728.65, 220,496.39 and 103,167.61 is: 142,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,728.65 : 220,496.39 = 103,167.61 : x
  2. Step 2: Convert to fraction form
    159,728.65/220,496.39 = 103,167.61/x
  3. Step 3: Cross multiply
    159,728.65x = 220,496.39 × 103,167.61
  4. Step 4: Simplify right side
    159,728.65x = 22,748,085,569.93
  5. Step 5: Solve for x
    x = 22,748,085,569.93/159,728.65
  6. Step 6: Final answer
    x = 142,417.07

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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.