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Finding the Fourth Proportional to 142,956, 197,279.44 and 83,351.52

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Solution

The fourth proportional to 142,956, 197,279.44 and 83,351.52 is: 115,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,956 : 197,279.44 = 83,351.52 : x
  2. Step 2: Convert to fraction form
    142,956/197,279.44 = 83,351.52/x
  3. Step 3: Cross multiply
    142,956x = 197,279.44 × 83,351.52
  4. Step 4: Simplify right side
    142,956x = 16,443,541,188.75
  5. Step 5: Solve for x
    x = 16,443,541,188.75/142,956
  6. Step 6: Final answer
    x = 115,025.19

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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.