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Finding the Fourth Proportional to 78,188.63, 107,899.70 and 42,377.72

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Solution

The fourth proportional to 78,188.63, 107,899.70 and 42,377.72 is: 58,480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,188.63 : 107,899.70 = 42,377.72 : x
  2. Step 2: Convert to fraction form
    78,188.63/107,899.70 = 42,377.72/x
  3. Step 3: Cross multiply
    78,188.63x = 107,899.70 × 42,377.72
  4. Step 4: Simplify right side
    78,188.63x = 4,572,542,523.30
  5. Step 5: Solve for x
    x = 4,572,542,523.30/78,188.63
  6. Step 6: Final answer
    x = 58,480.92

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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.