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Finding the Fourth Proportional to 83,221.83, 114,813.86 and 53,001.74

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Solution

The fourth proportional to 83,221.83, 114,813.86 and 53,001.74 is: 73,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,221.83 : 114,813.86 = 53,001.74 : x
  2. Step 2: Convert to fraction form
    83,221.83/114,813.86 = 53,001.74/x
  3. Step 3: Cross multiply
    83,221.83x = 114,813.86 × 53,001.74
  4. Step 4: Simplify right side
    83,221.83x = 6,085,334,378.14
  5. Step 5: Solve for x
    x = 6,085,334,378.14/83,221.83
  6. Step 6: Final answer
    x = 73,121.85

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1.5x scale

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.