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Finding the Fourth Proportional to 205,157.87, 307,871.36 and 72,034.70

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Solution

The fourth proportional to 205,157.87, 307,871.36 and 72,034.70 is: 108,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,157.87 : 307,871.36 = 72,034.70 : x
  2. Step 2: Convert to fraction form
    205,157.87/307,871.36 = 72,034.70/x
  3. Step 3: Cross multiply
    205,157.87x = 307,871.36 × 72,034.70
  4. Step 4: Simplify right side
    205,157.87x = 22,177,421,056.19
  5. Step 5: Solve for x
    x = 22,177,421,056.19/205,157.87
  6. Step 6: Final answer
    x = 108,099.29

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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.