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Finding the Fourth Proportional to 52,136.40, 78,350.40 and 45,721.20

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Solution

The fourth proportional to 52,136.40, 78,350.40 and 45,721.20 is: 68,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,136.40 : 78,350.40 = 45,721.20 : x
  2. Step 2: Convert to fraction form
    52,136.40/78,350.40 = 45,721.20/x
  3. Step 3: Cross multiply
    52,136.40x = 78,350.40 × 45,721.20
  4. Step 4: Simplify right side
    52,136.40x = 3,582,274,308.48
  5. Step 5: Solve for x
    x = 3,582,274,308.48/52,136.40
  6. Step 6: Final answer
    x = 68,709.66

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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.