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Finding the Fourth Proportional to 103,769.40, 155,654.10 and 51,281.40

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Solution

The fourth proportional to 103,769.40, 155,654.10 and 51,281.40 is: 76,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,769.40 : 155,654.10 = 51,281.40 : x
  2. Step 2: Convert to fraction form
    103,769.40/155,654.10 = 51,281.40/x
  3. Step 3: Cross multiply
    103,769.40x = 155,654.10 × 51,281.40
  4. Step 4: Simplify right side
    103,769.40x = 7,982,160,163.74
  5. Step 5: Solve for x
    x = 7,982,160,163.74/103,769.40
  6. Step 6: Final answer
    x = 76,922.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.