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Finding the Fourth Proportional to 78,470.60, 117,668.80 and 28,515.88

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Solution

The fourth proportional to 78,470.60, 117,668.80 and 28,515.88 is: 42,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,470.60 : 117,668.80 = 28,515.88 : x
  2. Step 2: Convert to fraction form
    78,470.60/117,668.80 = 28,515.88/x
  3. Step 3: Cross multiply
    78,470.60x = 117,668.80 × 28,515.88
  4. Step 4: Simplify right side
    78,470.60x = 3,355,429,380.54
  5. Step 5: Solve for x
    x = 3,355,429,380.54/78,470.60
  6. Step 6: Final answer
    x = 42,760.34

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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.