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Finding the Fourth Proportional to 142,812.61, 197,073.81 and 82,379.64

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Solution

The fourth proportional to 142,812.61, 197,073.81 and 82,379.64 is: 113,679.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,812.61 : 197,073.81 = 82,379.64 : x
  2. Step 2: Convert to fraction form
    142,812.61/197,073.81 = 82,379.64/x
  3. Step 3: Cross multiply
    142,812.61x = 197,073.81 × 82,379.64
  4. Step 4: Simplify right side
    142,812.61x = 16,234,869,521.23
  5. Step 5: Solve for x
    x = 16,234,869,521.23/142,812.61
  6. Step 6: Final answer
    x = 113,679.52

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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.