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Finding the Fourth Proportional to 105,612, 158,418 and 31,757.28

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Solution

The fourth proportional to 105,612, 158,418 and 31,757.28 is: 47,635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,612 : 158,418 = 31,757.28 : x
  2. Step 2: Convert to fraction form
    105,612/158,418 = 31,757.28/x
  3. Step 3: Cross multiply
    105,612x = 158,418 × 31,757.28
  4. Step 4: Simplify right side
    105,612x = 5,030,924,783.04
  5. Step 5: Solve for x
    x = 5,030,924,783.04/105,612
  6. Step 6: Final answer
    x = 47,635.92

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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.