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Finding the Fourth Proportional to 83,205.86, 114,823.95 and 47,395.85

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Solution

The fourth proportional to 83,205.86, 114,823.95 and 47,395.85 is: 65,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,205.86 : 114,823.95 = 47,395.85 : x
  2. Step 2: Convert to fraction form
    83,205.86/114,823.95 = 47,395.85/x
  3. Step 3: Cross multiply
    83,205.86x = 114,823.95 × 47,395.85
  4. Step 4: Simplify right side
    83,205.86x = 5,442,178,710.61
  5. Step 5: Solve for x
    x = 5,442,178,710.61/83,205.86
  6. Step 6: Final answer
    x = 65,406.20

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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.