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Finding the Fourth Proportional to 83,147.70, 124,709.40 and 23,977.20

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Solution

The fourth proportional to 83,147.70, 124,709.40 and 23,977.20 is: 35,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,147.70 : 124,709.40 = 23,977.20 : x
  2. Step 2: Convert to fraction form
    83,147.70/124,709.40 = 23,977.20/x
  3. Step 3: Cross multiply
    83,147.70x = 124,709.40 × 23,977.20
  4. Step 4: Simplify right side
    83,147.70x = 2,990,182,225.68
  5. Step 5: Solve for x
    x = 2,990,182,225.68/83,147.70
  6. Step 6: Final answer
    x = 35,962.30

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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.