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Finding the Fourth Proportional to 145,976.80, 218,803.20 and 57,200.80

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Solution

The fourth proportional to 145,976.80, 218,803.20 and 57,200.80 is: 85,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,976.80 : 218,803.20 = 57,200.80 : x
  2. Step 2: Convert to fraction form
    145,976.80/218,803.20 = 57,200.80/x
  3. Step 3: Cross multiply
    145,976.80x = 218,803.20 × 57,200.80
  4. Step 4: Simplify right side
    145,976.80x = 12,515,718,082.56
  5. Step 5: Solve for x
    x = 12,515,718,082.56/145,976.80
  6. Step 6: Final answer
    x = 85,737.72

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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.