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Finding the Fourth Proportional to 243,744.70, 365,651.70 and 75,278.74

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Solution

The fourth proportional to 243,744.70, 365,651.70 and 75,278.74 is: 112,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,744.70 : 365,651.70 = 75,278.74 : x
  2. Step 2: Convert to fraction form
    243,744.70/365,651.70 = 75,278.74/x
  3. Step 3: Cross multiply
    243,744.70x = 365,651.70 × 75,278.74
  4. Step 4: Simplify right side
    243,744.70x = 27,525,799,254.86
  5. Step 5: Solve for x
    x = 27,525,799,254.86/243,744.70
  6. Step 6: Final answer
    x = 112,928.81

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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.