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Finding the Fourth Proportional to 135,009.92, 186,315 and 74,582

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Solution

The fourth proportional to 135,009.92, 186,315 and 74,582 is: 102,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,009.92 : 186,315 = 74,582 : x
  2. Step 2: Convert to fraction form
    135,009.92/186,315 = 74,582/x
  3. Step 3: Cross multiply
    135,009.92x = 186,315 × 74,582
  4. Step 4: Simplify right side
    135,009.92x = 13,895,745,330
  5. Step 5: Solve for x
    x = 13,895,745,330/135,009.92
  6. Step 6: Final answer
    x = 102,923.88

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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.