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Finding the Fourth Proportional to 140,946.71, 211,387.70 and 84,036.71

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Solution

The fourth proportional to 140,946.71, 211,387.70 and 84,036.71 is: 126,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,946.71 : 211,387.70 = 84,036.71 : x
  2. Step 2: Convert to fraction form
    140,946.71/211,387.70 = 84,036.71/x
  3. Step 3: Cross multiply
    140,946.71x = 211,387.70 × 84,036.71
  4. Step 4: Simplify right side
    140,946.71x = 17,764,327,581.03
  5. Step 5: Solve for x
    x = 17,764,327,581.03/140,946.71
  6. Step 6: Final answer
    x = 126,035.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.