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Finding the Fourth Proportional to 65,705.38, 90,641.72 and 43,034.40

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Solution

The fourth proportional to 65,705.38, 90,641.72 and 43,034.40 is: 59,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,705.38 : 90,641.72 = 43,034.40 : x
  2. Step 2: Convert to fraction form
    65,705.38/90,641.72 = 43,034.40/x
  3. Step 3: Cross multiply
    65,705.38x = 90,641.72 × 43,034.40
  4. Step 4: Simplify right side
    65,705.38x = 3,900,711,366.79
  5. Step 5: Solve for x
    x = 3,900,711,366.79/65,705.38
  6. Step 6: Final answer
    x = 59,366.70

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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.