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Finding the Fourth Proportional to 187,659.84, 258,976.80 and 102,781.56

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Solution

The fourth proportional to 187,659.84, 258,976.80 and 102,781.56 is: 141,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,659.84 : 258,976.80 = 102,781.56 : x
  2. Step 2: Convert to fraction form
    187,659.84/258,976.80 = 102,781.56/x
  3. Step 3: Cross multiply
    187,659.84x = 258,976.80 × 102,781.56
  4. Step 4: Simplify right side
    187,659.84x = 26,618,039,507.81
  5. Step 5: Solve for x
    x = 26,618,039,507.81/187,659.84
  6. Step 6: Final answer
    x = 141,841.96

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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.