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Finding the Fourth Proportional to 65,042.48, 89,773.12 and 39,543.46

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Solution

The fourth proportional to 65,042.48, 89,773.12 and 39,543.46 is: 54,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,042.48 : 89,773.12 = 39,543.46 : x
  2. Step 2: Convert to fraction form
    65,042.48/89,773.12 = 39,543.46/x
  3. Step 3: Cross multiply
    65,042.48x = 89,773.12 × 39,543.46
  4. Step 4: Simplify right side
    65,042.48x = 3,549,939,133.21
  5. Step 5: Solve for x
    x = 3,549,939,133.21/65,042.48
  6. Step 6: Final answer
    x = 54,578.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.