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Finding the Fourth Proportional to 82,951.59, 124,141.49 and 50,909.40

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Solution

The fourth proportional to 82,951.59, 124,141.49 and 50,909.40 is: 76,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,951.59 : 124,141.49 = 50,909.40 : x
  2. Step 2: Convert to fraction form
    82,951.59/124,141.49 = 50,909.40/x
  3. Step 3: Cross multiply
    82,951.59x = 124,141.49 × 50,909.40
  4. Step 4: Simplify right side
    82,951.59x = 6,319,969,208.63
  5. Step 5: Solve for x
    x = 6,319,969,208.63/82,951.59
  6. Step 6: Final answer
    x = 76,188.64

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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.