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Finding the Fourth Proportional to 103,414.56, 155,122.56 and 47,243.04

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Solution

The fourth proportional to 103,414.56, 155,122.56 and 47,243.04 is: 70,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,414.56 : 155,122.56 = 47,243.04 : x
  2. Step 2: Convert to fraction form
    103,414.56/155,122.56 = 47,243.04/x
  3. Step 3: Cross multiply
    103,414.56x = 155,122.56 × 47,243.04
  4. Step 4: Simplify right side
    103,414.56x = 7,328,461,306.98
  5. Step 5: Solve for x
    x = 7,328,461,306.98/103,414.56
  6. Step 6: Final answer
    x = 70,864.89

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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.