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Finding the Fourth Proportional to 187,470.54, 280,923.93 and 75,039.30

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Solution

The fourth proportional to 187,470.54, 280,923.93 and 75,039.30 is: 112,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,470.54 : 280,923.93 = 75,039.30 : x
  2. Step 2: Convert to fraction form
    187,470.54/280,923.93 = 75,039.30/x
  3. Step 3: Cross multiply
    187,470.54x = 280,923.93 × 75,039.30
  4. Step 4: Simplify right side
    187,470.54x = 21,080,335,060.45
  5. Step 5: Solve for x
    x = 21,080,335,060.45/187,470.54
  6. Step 6: Final answer
    x = 112,446.12

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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.