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Finding the Fourth Proportional to 142,978.66, 197,311.44 and 82,551.76

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Solution

The fourth proportional to 142,978.66, 197,311.44 and 82,551.76 is: 113,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,978.66 : 197,311.44 = 82,551.76 : x
  2. Step 2: Convert to fraction form
    142,978.66/197,311.44 = 82,551.76/x
  3. Step 3: Cross multiply
    142,978.66x = 197,311.44 × 82,551.76
  4. Step 4: Simplify right side
    142,978.66x = 16,288,406,640.13
  5. Step 5: Solve for x
    x = 16,288,406,640.13/142,978.66
  6. Step 6: Final answer
    x = 113,921.94

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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.