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Finding the Fourth Proportional to 187,523.76, 258,785.20 and 102,639

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Solution

The fourth proportional to 187,523.76, 258,785.20 and 102,639 is: 141,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,523.76 : 258,785.20 = 102,639 : x
  2. Step 2: Convert to fraction form
    187,523.76/258,785.20 = 102,639/x
  3. Step 3: Cross multiply
    187,523.76x = 258,785.20 × 102,639
  4. Step 4: Simplify right side
    187,523.76x = 26,561,454,142.80
  5. Step 5: Solve for x
    x = 26,561,454,142.80/187,523.76
  6. Step 6: Final answer
    x = 141,643.14

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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.