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Finding the Fourth Proportional to 135,060, 186,382.80 and 75,444

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Solution

The fourth proportional to 135,060, 186,382.80 and 75,444 is: 104,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,060 : 186,382.80 = 75,444 : x
  2. Step 2: Convert to fraction form
    135,060/186,382.80 = 75,444/x
  3. Step 3: Cross multiply
    135,060x = 186,382.80 × 75,444
  4. Step 4: Simplify right side
    135,060x = 14,061,463,963.20
  5. Step 5: Solve for x
    x = 14,061,463,963.20/135,060
  6. Step 6: Final answer
    x = 104,112.72

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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.