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Finding the Fourth Proportional to 141,487.81, 211,964.34 and 83,612.40

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Solution

The fourth proportional to 141,487.81, 211,964.34 and 83,612.40 is: 125,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,487.81 : 211,964.34 = 83,612.40 : x
  2. Step 2: Convert to fraction form
    141,487.81/211,964.34 = 83,612.40/x
  3. Step 3: Cross multiply
    141,487.81x = 211,964.34 × 83,612.40
  4. Step 4: Simplify right side
    141,487.81x = 17,722,846,700.50
  5. Step 5: Solve for x
    x = 17,722,846,700.50/141,487.81
  6. Step 6: Final answer
    x = 125,260.59

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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.