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Finding the Fourth Proportional to 81,352.57, 121,816.63 and 65,470.85

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Solution

The fourth proportional to 81,352.57, 121,816.63 and 65,470.85 is: 98,035.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,352.57 : 121,816.63 = 65,470.85 : x
  2. Step 2: Convert to fraction form
    81,352.57/121,816.63 = 65,470.85/x
  3. Step 3: Cross multiply
    81,352.57x = 121,816.63 × 65,470.85
  4. Step 4: Simplify right side
    81,352.57x = 7,975,437,871.53
  5. Step 5: Solve for x
    x = 7,975,437,871.53/81,352.57
  6. Step 6: Final answer
    x = 98,035.48

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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.