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Finding the Fourth Proportional to 83,136.40, 124,553.40 and 47,971.60

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Solution

The fourth proportional to 83,136.40, 124,553.40 and 47,971.60 is: 71,870.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,136.40 : 124,553.40 = 47,971.60 : x
  2. Step 2: Convert to fraction form
    83,136.40/124,553.40 = 47,971.60/x
  3. Step 3: Cross multiply
    83,136.40x = 124,553.40 × 47,971.60
  4. Step 4: Simplify right side
    83,136.40x = 5,975,025,883.44
  5. Step 5: Solve for x
    x = 5,975,025,883.44/83,136.40
  6. Step 6: Final answer
    x = 71,870.15

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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.