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Finding the Fourth Proportional to 115,320, 159,141.60 and 65,020.80

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Solution

The fourth proportional to 115,320, 159,141.60 and 65,020.80 is: 89,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,320 : 159,141.60 = 65,020.80 : x
  2. Step 2: Convert to fraction form
    115,320/159,141.60 = 65,020.80/x
  3. Step 3: Cross multiply
    115,320x = 159,141.60 × 65,020.80
  4. Step 4: Simplify right side
    115,320x = 10,347,514,145.28
  5. Step 5: Solve for x
    x = 10,347,514,145.28/115,320
  6. Step 6: Final answer
    x = 89,728.70

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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.