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Finding the Fourth Proportional to 121,715.43, 182,443.74 and 71,819.02

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Solution

The fourth proportional to 121,715.43, 182,443.74 and 71,819.02 is: 107,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,715.43 : 182,443.74 = 71,819.02 : x
  2. Step 2: Convert to fraction form
    121,715.43/182,443.74 = 71,819.02/x
  3. Step 3: Cross multiply
    121,715.43x = 182,443.74 × 71,819.02
  4. Step 4: Simplify right side
    121,715.43x = 13,102,930,611.93
  5. Step 5: Solve for x
    x = 13,102,930,611.93/121,715.43
  6. Step 6: Final answer
    x = 107,652.17

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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.