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Finding the Fourth Proportional to 81,475.20, 109,641.60 and 81,475.20

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Solution

The fourth proportional to 81,475.20, 109,641.60 and 81,475.20 is: 109,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,475.20 : 109,641.60 = 81,475.20 : x
  2. Step 2: Convert to fraction form
    81,475.20/109,641.60 = 81,475.20/x
  3. Step 3: Cross multiply
    81,475.20x = 109,641.60 × 81,475.20
  4. Step 4: Simplify right side
    81,475.20x = 8,933,071,288.32
  5. Step 5: Solve for x
    x = 8,933,071,288.32/81,475.20
  6. Step 6: Final answer
    x = 109,641.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.