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Finding the Fourth Proportional to 140,182.66, 193,451.50 and 76,520.50

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Solution

The fourth proportional to 140,182.66, 193,451.50 and 76,520.50 is: 105,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,182.66 : 193,451.50 = 76,520.50 : x
  2. Step 2: Convert to fraction form
    140,182.66/193,451.50 = 76,520.50/x
  3. Step 3: Cross multiply
    140,182.66x = 193,451.50 × 76,520.50
  4. Step 4: Simplify right side
    140,182.66x = 14,803,005,505.75
  5. Step 5: Solve for x
    x = 14,803,005,505.75/140,182.66
  6. Step 6: Final answer
    x = 105,597.98

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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.