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Finding the Fourth Proportional to 77,110.52, 115,727.52 and 74,650.20

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Solution

The fourth proportional to 77,110.52, 115,727.52 and 74,650.20 is: 112,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,110.52 : 115,727.52 = 74,650.20 : x
  2. Step 2: Convert to fraction form
    77,110.52/115,727.52 = 74,650.20/x
  3. Step 3: Cross multiply
    77,110.52x = 115,727.52 × 74,650.20
  4. Step 4: Simplify right side
    77,110.52x = 8,639,082,513.50
  5. Step 5: Solve for x
    x = 8,639,082,513.50/77,110.52
  6. Step 6: Final answer
    x = 112,035.07

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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.