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Finding the Fourth Proportional to 78,458.70, 117,615.15 and 54,766.20

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Solution

The fourth proportional to 78,458.70, 117,615.15 and 54,766.20 is: 82,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,458.70 : 117,615.15 = 54,766.20 : x
  2. Step 2: Convert to fraction form
    78,458.70/117,615.15 = 54,766.20/x
  3. Step 3: Cross multiply
    78,458.70x = 117,615.15 × 54,766.20
  4. Step 4: Simplify right side
    78,458.70x = 6,441,334,827.93
  5. Step 5: Solve for x
    x = 6,441,334,827.93/78,458.70
  6. Step 6: Final answer
    x = 82,098.41

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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.