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Finding the Fourth Proportional to 148,707.29, 205,216.20 and 80,724.26

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Solution

The fourth proportional to 148,707.29, 205,216.20 and 80,724.26 is: 111,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,707.29 : 205,216.20 = 80,724.26 : x
  2. Step 2: Convert to fraction form
    148,707.29/205,216.20 = 80,724.26/x
  3. Step 3: Cross multiply
    148,707.29x = 205,216.20 × 80,724.26
  4. Step 4: Simplify right side
    148,707.29x = 16,565,926,398.05
  5. Step 5: Solve for x
    x = 16,565,926,398.05/148,707.29
  6. Step 6: Final answer
    x = 111,399.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.