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Finding the Fourth Proportional to 65,354.04, 98,061.84 and 45,394.20

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Solution

The fourth proportional to 65,354.04, 98,061.84 and 45,394.20 is: 68,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,354.04 : 98,061.84 = 45,394.20 : x
  2. Step 2: Convert to fraction form
    65,354.04/98,061.84 = 45,394.20/x
  3. Step 3: Cross multiply
    65,354.04x = 98,061.84 × 45,394.20
  4. Step 4: Simplify right side
    65,354.04x = 4,451,438,777.33
  5. Step 5: Solve for x
    x = 4,451,438,777.33/65,354.04
  6. Step 6: Final answer
    x = 68,112.68

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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.