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Finding the Fourth Proportional to 187,871.76, 259,279.38 and 103,005

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Solution

The fourth proportional to 187,871.76, 259,279.38 and 103,005 is: 142,155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,871.76 : 259,279.38 = 103,005 : x
  2. Step 2: Convert to fraction form
    187,871.76/259,279.38 = 103,005/x
  3. Step 3: Cross multiply
    187,871.76x = 259,279.38 × 103,005
  4. Step 4: Simplify right side
    187,871.76x = 26,707,072,536.90
  5. Step 5: Solve for x
    x = 26,707,072,536.90/187,871.76
  6. Step 6: Final answer
    x = 142,155.86

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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.