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Finding the Fourth Proportional to 142,902.87, 197,191.74 and 82,492.97

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Solution

The fourth proportional to 142,902.87, 197,191.74 and 82,492.97 is: 113,832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,902.87 : 197,191.74 = 82,492.97 : x
  2. Step 2: Convert to fraction form
    142,902.87/197,191.74 = 82,492.97/x
  3. Step 3: Cross multiply
    142,902.87x = 197,191.74 × 82,492.97
  4. Step 4: Simplify right side
    142,902.87x = 16,266,933,279.26
  5. Step 5: Solve for x
    x = 16,266,933,279.26/142,902.87
  6. Step 6: Final answer
    x = 113,832.10

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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.