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Finding the Fourth Proportional to 115,317.52, 159,132 and 65,013.28

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Solution

The fourth proportional to 115,317.52, 159,132 and 65,013.28 is: 89,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,317.52 : 159,132 = 65,013.28 : x
  2. Step 2: Convert to fraction form
    115,317.52/159,132 = 65,013.28/x
  3. Step 3: Cross multiply
    115,317.52x = 159,132 × 65,013.28
  4. Step 4: Simplify right side
    115,317.52x = 10,345,693,272.96
  5. Step 5: Solve for x
    x = 10,345,693,272.96/115,317.52
  6. Step 6: Final answer
    x = 89,714.84

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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.