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Finding the Fourth Proportional to 72,232.20, 108,356.40 and 22,311.90

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Solution

The fourth proportional to 72,232.20, 108,356.40 and 22,311.90 is: 33,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,232.20 : 108,356.40 = 22,311.90 : x
  2. Step 2: Convert to fraction form
    72,232.20/108,356.40 = 22,311.90/x
  3. Step 3: Cross multiply
    72,232.20x = 108,356.40 × 22,311.90
  4. Step 4: Simplify right side
    72,232.20x = 2,417,637,161.16
  5. Step 5: Solve for x
    x = 2,417,637,161.16/72,232.20
  6. Step 6: Final answer
    x = 33,470.35

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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.