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Finding the Fourth Proportional to 78,676.38, 108,572.03 and 42,866.65

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Solution

The fourth proportional to 78,676.38, 108,572.03 and 42,866.65 is: 59,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,676.38 : 108,572.03 = 42,866.65 : x
  2. Step 2: Convert to fraction form
    78,676.38/108,572.03 = 42,866.65/x
  3. Step 3: Cross multiply
    78,676.38x = 108,572.03 × 42,866.65
  4. Step 4: Simplify right side
    78,676.38x = 4,654,118,724.04
  5. Step 5: Solve for x
    x = 4,654,118,724.04/78,676.38
  6. Step 6: Final answer
    x = 59,155.22

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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.