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Finding the Fourth Proportional to 71,134.40, 106,561.20 and 36,099.20

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Solution

The fourth proportional to 71,134.40, 106,561.20 and 36,099.20 is: 54,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,134.40 : 106,561.20 = 36,099.20 : x
  2. Step 2: Convert to fraction form
    71,134.40/106,561.20 = 36,099.20/x
  3. Step 3: Cross multiply
    71,134.40x = 106,561.20 × 36,099.20
  4. Step 4: Simplify right side
    71,134.40x = 3,846,774,071.04
  5. Step 5: Solve for x
    x = 3,846,774,071.04/71,134.40
  6. Step 6: Final answer
    x = 54,077.55

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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.