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Finding the Fourth Proportional to 78,166.60, 117,077.10 and 60,497.80

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Solution

The fourth proportional to 78,166.60, 117,077.10 and 60,497.80 is: 90,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,166.60 : 117,077.10 = 60,497.80 : x
  2. Step 2: Convert to fraction form
    78,166.60/117,077.10 = 60,497.80/x
  3. Step 3: Cross multiply
    78,166.60x = 117,077.10 × 60,497.80
  4. Step 4: Simplify right side
    78,166.60x = 7,082,906,980.38
  5. Step 5: Solve for x
    x = 7,082,906,980.38/78,166.60
  6. Step 6: Final answer
    x = 90,612.96

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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.