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Finding the Fourth Proportional to 83,130.40, 124,544.40 and 47,965.60

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Solution

The fourth proportional to 83,130.40, 124,544.40 and 47,965.60 is: 71,861.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,130.40 : 124,544.40 = 47,965.60 : x
  2. Step 2: Convert to fraction form
    83,130.40/124,544.40 = 47,965.60/x
  3. Step 3: Cross multiply
    83,130.40x = 124,544.40 × 47,965.60
  4. Step 4: Simplify right side
    83,130.40x = 5,973,846,872.64
  5. Step 5: Solve for x
    x = 5,973,846,872.64/83,130.40
  6. Step 6: Final answer
    x = 71,861.16

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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.