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Finding the Fourth Proportional to 187,863.42, 259,251.53 and 102,978.66

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Solution

The fourth proportional to 187,863.42, 259,251.53 and 102,978.66 is: 142,110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,863.42 : 259,251.53 = 102,978.66 : x
  2. Step 2: Convert to fraction form
    187,863.42/259,251.53 = 102,978.66/x
  3. Step 3: Cross multiply
    187,863.42x = 259,251.53 × 102,978.66
  4. Step 4: Simplify right side
    187,863.42x = 26,697,374,647.46
  5. Step 5: Solve for x
    x = 26,697,374,647.46/187,863.42
  6. Step 6: Final answer
    x = 142,110.55

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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.