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Finding the Fourth Proportional to 78,188.57, 107,899.80 and 42,378.20

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Solution

The fourth proportional to 78,188.57, 107,899.80 and 42,378.20 is: 58,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,188.57 : 107,899.80 = 42,378.20 : x
  2. Step 2: Convert to fraction form
    78,188.57/107,899.80 = 42,378.20/x
  3. Step 3: Cross multiply
    78,188.57x = 107,899.80 × 42,378.20
  4. Step 4: Simplify right side
    78,188.57x = 4,572,599,304.36
  5. Step 5: Solve for x
    x = 4,572,599,304.36/78,188.57
  6. Step 6: Final answer
    x = 58,481.68

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1.5x scale

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.