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Finding the Fourth Proportional to 169,294.32, 253,991.16 and 75,779.28

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Solution

The fourth proportional to 169,294.32, 253,991.16 and 75,779.28 is: 113,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,294.32 : 253,991.16 = 75,779.28 : x
  2. Step 2: Convert to fraction form
    169,294.32/253,991.16 = 75,779.28/x
  3. Step 3: Cross multiply
    169,294.32x = 253,991.16 × 75,779.28
  4. Step 4: Simplify right side
    169,294.32x = 19,247,267,231.16
  5. Step 5: Solve for x
    x = 19,247,267,231.16/169,294.32
  6. Step 6: Final answer
    x = 113,691.16

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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.