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Finding the Fourth Proportional to 243,624.26, 365,499.30 and 75,140.78

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Solution

The fourth proportional to 243,624.26, 365,499.30 and 75,140.78 is: 112,730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,624.26 : 365,499.30 = 75,140.78 : x
  2. Step 2: Convert to fraction form
    243,624.26/365,499.30 = 75,140.78/x
  3. Step 3: Cross multiply
    243,624.26x = 365,499.30 × 75,140.78
  4. Step 4: Simplify right side
    243,624.26x = 27,463,902,491.45
  5. Step 5: Solve for x
    x = 27,463,902,491.45/243,624.26
  6. Step 6: Final answer
    x = 112,730.57

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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.