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Finding the Fourth Proportional to 159,565.34, 220,201.71 and 87,948.11

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Solution

The fourth proportional to 159,565.34, 220,201.71 and 87,948.11 is: 121,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,565.34 : 220,201.71 = 87,948.11 : x
  2. Step 2: Convert to fraction form
    159,565.34/220,201.71 = 87,948.11/x
  3. Step 3: Cross multiply
    159,565.34x = 220,201.71 × 87,948.11
  4. Step 4: Simplify right side
    159,565.34x = 19,366,324,433.97
  5. Step 5: Solve for x
    x = 19,366,324,433.97/159,565.34
  6. Step 6: Final answer
    x = 121,369.24

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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.