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Finding the Fourth Proportional to 80,368.78, 120,536.70 and 30,431.65

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Solution

The fourth proportional to 80,368.78, 120,536.70 and 30,431.65 is: 45,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,368.78 : 120,536.70 = 30,431.65 : x
  2. Step 2: Convert to fraction form
    80,368.78/120,536.70 = 30,431.65/x
  3. Step 3: Cross multiply
    80,368.78x = 120,536.70 × 30,431.65
  4. Step 4: Simplify right side
    80,368.78x = 3,668,130,666.56
  5. Step 5: Solve for x
    x = 3,668,130,666.56/80,368.78
  6. Step 6: Final answer
    x = 45,641.24

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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.