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Finding the Fourth Proportional to 115,742.88, 159,726.60 and 65,440.80

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Solution

The fourth proportional to 115,742.88, 159,726.60 and 65,440.80 is: 90,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,742.88 : 159,726.60 = 65,440.80 : x
  2. Step 2: Convert to fraction form
    115,742.88/159,726.60 = 65,440.80/x
  3. Step 3: Cross multiply
    115,742.88x = 159,726.60 × 65,440.80
  4. Step 4: Simplify right side
    115,742.88x = 10,452,636,485.28
  5. Step 5: Solve for x
    x = 10,452,636,485.28/115,742.88
  6. Step 6: Final answer
    x = 90,309.11

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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.