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Finding the Fourth Proportional to 86,503, 129,754.62 and 20,839

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Solution

The fourth proportional to 86,503, 129,754.62 and 20,839 is: 31,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,503 : 129,754.62 = 20,839 : x
  2. Step 2: Convert to fraction form
    86,503/129,754.62 = 20,839/x
  3. Step 3: Cross multiply
    86,503x = 129,754.62 × 20,839
  4. Step 4: Simplify right side
    86,503x = 2,703,956,526.18
  5. Step 5: Solve for x
    x = 2,703,956,526.18/86,503
  6. Step 6: Final answer
    x = 31,258.53

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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.