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Finding the Fourth Proportional to 142,585.71, 196,789.02 and 82,144.59

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Solution

The fourth proportional to 142,585.71, 196,789.02 and 82,144.59 is: 113,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,585.71 : 196,789.02 = 82,144.59 : x
  2. Step 2: Convert to fraction form
    142,585.71/196,789.02 = 82,144.59/x
  3. Step 3: Cross multiply
    142,585.71x = 196,789.02 × 82,144.59
  4. Step 4: Simplify right side
    142,585.71x = 16,165,153,364.40
  5. Step 5: Solve for x
    x = 16,165,153,364.40/142,585.71
  6. Step 6: Final answer
    x = 113,371.48

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1.5x scale

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.