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Finding the Fourth Proportional to 142,560, 196,732.80 and 82,944

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Solution

The fourth proportional to 142,560, 196,732.80 and 82,944 is: 114,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,560 : 196,732.80 = 82,944 : x
  2. Step 2: Convert to fraction form
    142,560/196,732.80 = 82,944/x
  3. Step 3: Cross multiply
    142,560x = 196,732.80 × 82,944
  4. Step 4: Simplify right side
    142,560x = 16,317,805,363.20
  5. Step 5: Solve for x
    x = 16,317,805,363.20/142,560
  6. Step 6: Final answer
    x = 114,462.72

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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.