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Finding the Fourth Proportional to 83,221.30, 124,831.95 and 33,309.10

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Solution

The fourth proportional to 83,221.30, 124,831.95 and 33,309.10 is: 49,963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,221.30 : 124,831.95 = 33,309.10 : x
  2. Step 2: Convert to fraction form
    83,221.30/124,831.95 = 33,309.10/x
  3. Step 3: Cross multiply
    83,221.30x = 124,831.95 × 33,309.10
  4. Step 4: Simplify right side
    83,221.30x = 4,158,039,905.75
  5. Step 5: Solve for x
    x = 4,158,039,905.75/83,221.30
  6. Step 6: Final answer
    x = 49,963.65

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1.5x scale

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.