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Finding the Fourth Proportional to 140,471.68, 210,440.28 and 83,424.70

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Solution

The fourth proportional to 140,471.68, 210,440.28 and 83,424.70 is: 124,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,471.68 : 210,440.28 = 83,424.70 : x
  2. Step 2: Convert to fraction form
    140,471.68/210,440.28 = 83,424.70/x
  3. Step 3: Cross multiply
    140,471.68x = 210,440.28 × 83,424.70
  4. Step 4: Simplify right side
    140,471.68x = 17,555,917,226.92
  5. Step 5: Solve for x
    x = 17,555,917,226.92/140,471.68
  6. Step 6: Final answer
    x = 124,978.34

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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.