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Finding the Fourth Proportional to 102,764.26, 154,233.87 and 40,478.50

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Solution

The fourth proportional to 102,764.26, 154,233.87 and 40,478.50 is: 60,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,764.26 : 154,233.87 = 40,478.50 : x
  2. Step 2: Convert to fraction form
    102,764.26/154,233.87 = 40,478.50/x
  3. Step 3: Cross multiply
    102,764.26x = 154,233.87 × 40,478.50
  4. Step 4: Simplify right side
    102,764.26x = 6,243,155,706.80
  5. Step 5: Solve for x
    x = 6,243,155,706.80/102,764.26
  6. Step 6: Final answer
    x = 60,752.21

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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.