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Finding the Fourth Proportional to 76,909.60, 115,364.40 and 39,584.80

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Solution

The fourth proportional to 76,909.60, 115,364.40 and 39,584.80 is: 59,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,909.60 : 115,364.40 = 39,584.80 : x
  2. Step 2: Convert to fraction form
    76,909.60/115,364.40 = 39,584.80/x
  3. Step 3: Cross multiply
    76,909.60x = 115,364.40 × 39,584.80
  4. Step 4: Simplify right side
    76,909.60x = 4,566,676,701.12
  5. Step 5: Solve for x
    x = 4,566,676,701.12/76,909.60
  6. Step 6: Final answer
    x = 59,377.20

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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.