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Finding the Fourth Proportional to 115,422.48, 159,287.16 and 67,020.78

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Solution

The fourth proportional to 115,422.48, 159,287.16 and 67,020.78 is: 92,491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,422.48 : 159,287.16 = 67,020.78 : x
  2. Step 2: Convert to fraction form
    115,422.48/159,287.16 = 67,020.78/x
  3. Step 3: Cross multiply
    115,422.48x = 159,287.16 × 67,020.78
  4. Step 4: Simplify right side
    115,422.48x = 10,675,549,707.18
  5. Step 5: Solve for x
    x = 10,675,549,707.18/115,422.48
  6. Step 6: Final answer
    x = 92,491.08

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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.