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Finding the Fourth Proportional to 81,475.20, 106,034.40 and 81,475.20

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Solution

The fourth proportional to 81,475.20, 106,034.40 and 81,475.20 is: 106,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,475.20 : 106,034.40 = 81,475.20 : x
  2. Step 2: Convert to fraction form
    81,475.20/106,034.40 = 81,475.20/x
  3. Step 3: Cross multiply
    81,475.20x = 106,034.40 × 81,475.20
  4. Step 4: Simplify right side
    81,475.20x = 8,639,173,946.88
  5. Step 5: Solve for x
    x = 8,639,173,946.88/81,475.20
  6. Step 6: Final answer
    x = 106,034.40

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.