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Finding the Fourth Proportional to 78,221.75, 107,945.92 and 42,411.70

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Solution

The fourth proportional to 78,221.75, 107,945.92 and 42,411.70 is: 58,528.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,221.75 : 107,945.92 = 42,411.70 : x
  2. Step 2: Convert to fraction form
    78,221.75/107,945.92 = 42,411.70/x
  3. Step 3: Cross multiply
    78,221.75x = 107,945.92 × 42,411.70
  4. Step 4: Simplify right side
    78,221.75x = 4,578,169,924.65
  5. Step 5: Solve for x
    x = 4,578,169,924.65/78,221.75
  6. Step 6: Final answer
    x = 58,528.09

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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.