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Finding the Fourth Proportional to 140,409.50, 193,765.02 and 76,747.28

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Solution

The fourth proportional to 140,409.50, 193,765.02 and 76,747.28 is: 105,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,409.50 : 193,765.02 = 76,747.28 : x
  2. Step 2: Convert to fraction form
    140,409.50/193,765.02 = 76,747.28/x
  3. Step 3: Cross multiply
    140,409.50x = 193,765.02 × 76,747.28
  4. Step 4: Simplify right side
    140,409.50x = 14,870,938,244.15
  5. Step 5: Solve for x
    x = 14,870,938,244.15/140,409.50
  6. Step 6: Final answer
    x = 105,911.20

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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.