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Finding the Fourth Proportional to 140,321.76, 193,641.60 and 76,657.92

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Solution

The fourth proportional to 140,321.76, 193,641.60 and 76,657.92 is: 105,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,321.76 : 193,641.60 = 76,657.92 : x
  2. Step 2: Convert to fraction form
    140,321.76/193,641.60 = 76,657.92/x
  3. Step 3: Cross multiply
    140,321.76x = 193,641.60 × 76,657.92
  4. Step 4: Simplify right side
    140,321.76x = 14,844,162,281.47
  5. Step 5: Solve for x
    x = 14,844,162,281.47/140,321.76
  6. Step 6: Final answer
    x = 105,786.60

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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.