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Finding the Fourth Proportional to 140,641.68, 194,085.19 and 76,978.92

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Solution

The fourth proportional to 140,641.68, 194,085.19 and 76,978.92 is: 106,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,641.68 : 194,085.19 = 76,978.92 : x
  2. Step 2: Convert to fraction form
    140,641.68/194,085.19 = 76,978.92/x
  3. Step 3: Cross multiply
    140,641.68x = 194,085.19 × 76,978.92
  4. Step 4: Simplify right side
    140,641.68x = 14,940,468,314.19
  5. Step 5: Solve for x
    x = 14,940,468,314.19/140,641.68
  6. Step 6: Final answer
    x = 106,230.73

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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.