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Finding the Fourth Proportional to 159,790.40, 220,581.76 and 103,229.76

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Solution

The fourth proportional to 159,790.40, 220,581.76 and 103,229.76 is: 142,502.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,790.40 : 220,581.76 = 103,229.76 : x
  2. Step 2: Convert to fraction form
    159,790.40/220,581.76 = 103,229.76/x
  3. Step 3: Cross multiply
    159,790.40x = 220,581.76 × 103,229.76
  4. Step 4: Simplify right side
    159,790.40x = 22,770,602,145.18
  5. Step 5: Solve for x
    x = 22,770,602,145.18/159,790.40
  6. Step 6: Final answer
    x = 142,502.94

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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.