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Finding the Fourth Proportional to 187,655, 258,963.90 and 102,772.68

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Solution

The fourth proportional to 187,655, 258,963.90 and 102,772.68 is: 141,826.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,655 : 258,963.90 = 102,772.68 : x
  2. Step 2: Convert to fraction form
    187,655/258,963.90 = 102,772.68/x
  3. Step 3: Cross multiply
    187,655x = 258,963.90 × 102,772.68
  4. Step 4: Simplify right side
    187,655x = 26,614,414,026.25
  5. Step 5: Solve for x
    x = 26,614,414,026.25/187,655
  6. Step 6: Final answer
    x = 141,826.30

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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.