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Finding the Fourth Proportional to 65,363.92, 90,221.25 and 42,706.36

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Solution

The fourth proportional to 65,363.92, 90,221.25 and 42,706.36 is: 58,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,363.92 : 90,221.25 = 42,706.36 : x
  2. Step 2: Convert to fraction form
    65,363.92/90,221.25 = 42,706.36/x
  3. Step 3: Cross multiply
    65,363.92x = 90,221.25 × 42,706.36
  4. Step 4: Simplify right side
    65,363.92x = 3,853,021,182.15
  5. Step 5: Solve for x
    x = 3,853,021,182.15/65,363.92
  6. Step 6: Final answer
    x = 58,947.22

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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.