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Finding the Fourth Proportional to 77,497.92, 116,067.36 and 66,129.60

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Solution

The fourth proportional to 77,497.92, 116,067.36 and 66,129.60 is: 99,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,497.92 : 116,067.36 = 66,129.60 : x
  2. Step 2: Convert to fraction form
    77,497.92/116,067.36 = 66,129.60/x
  3. Step 3: Cross multiply
    77,497.92x = 116,067.36 × 66,129.60
  4. Step 4: Simplify right side
    77,497.92x = 7,675,488,089.86
  5. Step 5: Solve for x
    x = 7,675,488,089.86/77,497.92
  6. Step 6: Final answer
    x = 99,041.21

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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.