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Finding the Fourth Proportional to 187,830.76, 281,642.46 and 77,100.52

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Solution

The fourth proportional to 187,830.76, 281,642.46 and 77,100.52 is: 115,608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,830.76 : 281,642.46 = 77,100.52 : x
  2. Step 2: Convert to fraction form
    187,830.76/281,642.46 = 77,100.52/x
  3. Step 3: Cross multiply
    187,830.76x = 281,642.46 × 77,100.52
  4. Step 4: Simplify right side
    187,830.76x = 21,714,780,120.08
  5. Step 5: Solve for x
    x = 21,714,780,120.08/187,830.76
  6. Step 6: Final answer
    x = 115,608.22

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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.