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Finding the Fourth Proportional to 83,115, 124,679.02 and 27,711

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Solution

The fourth proportional to 83,115, 124,679.02 and 27,711 is: 41,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,115 : 124,679.02 = 27,711 : x
  2. Step 2: Convert to fraction form
    83,115/124,679.02 = 27,711/x
  3. Step 3: Cross multiply
    83,115x = 124,679.02 × 27,711
  4. Step 4: Simplify right side
    83,115x = 3,454,980,323.22
  5. Step 5: Solve for x
    x = 3,454,980,323.22/83,115
  6. Step 6: Final answer
    x = 41,568.67

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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.