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Finding the Fourth Proportional to 140,149.98, 193,411.08 and 76,491.90

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Solution

The fourth proportional to 140,149.98, 193,411.08 and 76,491.90 is: 105,561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,149.98 : 193,411.08 = 76,491.90 : x
  2. Step 2: Convert to fraction form
    140,149.98/193,411.08 = 76,491.90/x
  3. Step 3: Cross multiply
    140,149.98x = 193,411.08 × 76,491.90
  4. Step 4: Simplify right side
    140,149.98x = 14,794,380,990.25
  5. Step 5: Solve for x
    x = 14,794,380,990.25/140,149.98
  6. Step 6: Final answer
    x = 105,561.06

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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.