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Finding the Fourth Proportional to 142,902.91, 197,191.80 and 82,493.01

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Solution

The fourth proportional to 142,902.91, 197,191.80 and 82,493.01 is: 113,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,902.91 : 197,191.80 = 82,493.01 : x
  2. Step 2: Convert to fraction form
    142,902.91/197,191.80 = 82,493.01/x
  3. Step 3: Cross multiply
    142,902.91x = 197,191.80 × 82,493.01
  4. Step 4: Simplify right side
    142,902.91x = 16,266,945,129.32
  5. Step 5: Solve for x
    x = 16,266,945,129.32/142,902.91
  6. Step 6: Final answer
    x = 113,832.15

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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.