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Finding the Fourth Proportional to 119,459.72, 164,850.92 and 65,744.70

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Solution

The fourth proportional to 119,459.72, 164,850.92 and 65,744.70 is: 90,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,459.72 : 164,850.92 = 65,744.70 : x
  2. Step 2: Convert to fraction form
    119,459.72/164,850.92 = 65,744.70/x
  3. Step 3: Cross multiply
    119,459.72x = 164,850.92 × 65,744.70
  4. Step 4: Simplify right side
    119,459.72x = 10,838,074,280.12
  5. Step 5: Solve for x
    x = 10,838,074,280.12/119,459.72
  6. Step 6: Final answer
    x = 90,725.76

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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.