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Finding the Fourth Proportional to 78,742.60, 118,125.79 and 25,416.75

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Solution

The fourth proportional to 78,742.60, 118,125.79 and 25,416.75 is: 38,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,742.60 : 118,125.79 = 25,416.75 : x
  2. Step 2: Convert to fraction form
    78,742.60/118,125.79 = 25,416.75/x
  3. Step 3: Cross multiply
    78,742.60x = 118,125.79 × 25,416.75
  4. Step 4: Simplify right side
    78,742.60x = 3,002,373,672.98
  5. Step 5: Solve for x
    x = 3,002,373,672.98/78,742.60
  6. Step 6: Final answer
    x = 38,128.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.