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Finding the Fourth Proportional to 83,220.48, 114,838.36 and 47,403.90

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Solution

The fourth proportional to 83,220.48, 114,838.36 and 47,403.90 is: 65,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,220.48 : 114,838.36 = 47,403.90 : x
  2. Step 2: Convert to fraction form
    83,220.48/114,838.36 = 47,403.90/x
  3. Step 3: Cross multiply
    83,220.48x = 114,838.36 × 47,403.90
  4. Step 4: Simplify right side
    83,220.48x = 5,443,786,015.09
  5. Step 5: Solve for x
    x = 5,443,786,015.09/83,220.48
  6. Step 6: Final answer
    x = 65,414.02

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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.