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Finding the Fourth Proportional to 105,432.72, 157,974.12 and 74,202.36

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Solution

The fourth proportional to 105,432.72, 157,974.12 and 74,202.36 is: 111,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,432.72 : 157,974.12 = 74,202.36 : x
  2. Step 2: Convert to fraction form
    105,432.72/157,974.12 = 74,202.36/x
  3. Step 3: Cross multiply
    105,432.72x = 157,974.12 × 74,202.36
  4. Step 4: Simplify right side
    105,432.72x = 11,722,052,522.92
  5. Step 5: Solve for x
    x = 11,722,052,522.92/105,432.72
  6. Step 6: Final answer
    x = 111,180.41

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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.