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Finding the Fourth Proportional to 102,756.26, 154,221.87 and 40,470.50

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Solution

The fourth proportional to 102,756.26, 154,221.87 and 40,470.50 is: 60,740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,756.26 : 154,221.87 = 40,470.50 : x
  2. Step 2: Convert to fraction form
    102,756.26/154,221.87 = 40,470.50/x
  3. Step 3: Cross multiply
    102,756.26x = 154,221.87 × 40,470.50
  4. Step 4: Simplify right side
    102,756.26x = 6,241,436,189.84
  5. Step 5: Solve for x
    x = 6,241,436,189.84/102,756.26
  6. Step 6: Final answer
    x = 60,740.20

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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.