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Finding the Fourth Proportional to 81,302.52, 121,919.22 and 50,129.40

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Solution

The fourth proportional to 81,302.52, 121,919.22 and 50,129.40 is: 75,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,302.52 : 121,919.22 = 50,129.40 : x
  2. Step 2: Convert to fraction form
    81,302.52/121,919.22 = 50,129.40/x
  3. Step 3: Cross multiply
    81,302.52x = 121,919.22 × 50,129.40
  4. Step 4: Simplify right side
    81,302.52x = 6,111,737,347.07
  5. Step 5: Solve for x
    x = 6,111,737,347.07/81,302.52
  6. Step 6: Final answer
    x = 75,172.79

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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.