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Finding the Fourth Proportional to 84,677.63, 127,016.49 and 21,502.49

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Solution

The fourth proportional to 84,677.63, 127,016.49 and 21,502.49 is: 32,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,677.63 : 127,016.49 = 21,502.49 : x
  2. Step 2: Convert to fraction form
    84,677.63/127,016.49 = 21,502.49/x
  3. Step 3: Cross multiply
    84,677.63x = 127,016.49 × 21,502.49
  4. Step 4: Simplify right side
    84,677.63x = 2,731,170,251.61
  5. Step 5: Solve for x
    x = 2,731,170,251.61/84,677.63
  6. Step 6: Final answer
    x = 32,253.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.