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Finding the Fourth Proportional to 77,654.40, 116,481.60 and 40,329.60

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Solution

The fourth proportional to 77,654.40, 116,481.60 and 40,329.60 is: 60,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,654.40 : 116,481.60 = 40,329.60 : x
  2. Step 2: Convert to fraction form
    77,654.40/116,481.60 = 40,329.60/x
  3. Step 3: Cross multiply
    77,654.40x = 116,481.60 × 40,329.60
  4. Step 4: Simplify right side
    77,654.40x = 4,697,656,335.36
  5. Step 5: Solve for x
    x = 4,697,656,335.36/77,654.40
  6. Step 6: Final answer
    x = 60,494.40

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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.