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Finding the Fourth Proportional to 115,412.28, 159,269.16 and 65,111.28

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Solution

The fourth proportional to 115,412.28, 159,269.16 and 65,111.28 is: 89,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,412.28 : 159,269.16 = 65,111.28 : x
  2. Step 2: Convert to fraction form
    115,412.28/159,269.16 = 65,111.28/x
  3. Step 3: Cross multiply
    115,412.28x = 159,269.16 × 65,111.28
  4. Step 4: Simplify right side
    115,412.28x = 10,370,218,872.12
  5. Step 5: Solve for x
    x = 10,370,218,872.12/115,412.28
  6. Step 6: Final answer
    x = 89,853.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.