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Finding the Fourth Proportional to 78,463, 117,747.42 and 29,215

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Solution

The fourth proportional to 78,463, 117,747.42 and 29,215 is: 43,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,463 : 117,747.42 = 29,215 : x
  2. Step 2: Convert to fraction form
    78,463/117,747.42 = 29,215/x
  3. Step 3: Cross multiply
    78,463x = 117,747.42 × 29,215
  4. Step 4: Simplify right side
    78,463x = 3,439,990,875.30
  5. Step 5: Solve for x
    x = 3,439,990,875.30/78,463
  6. Step 6: Final answer
    x = 43,842.20

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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.