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Finding the Fourth Proportional to 115,726.68, 159,732 and 65,454.84

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Solution

The fourth proportional to 115,726.68, 159,732 and 65,454.84 is: 90,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,726.68 : 159,732 = 65,454.84 : x
  2. Step 2: Convert to fraction form
    115,726.68/159,732 = 65,454.84/x
  3. Step 3: Cross multiply
    115,726.68x = 159,732 × 65,454.84
  4. Step 4: Simplify right side
    115,726.68x = 10,455,232,502.88
  5. Step 5: Solve for x
    x = 10,455,232,502.88/115,726.68
  6. Step 6: Final answer
    x = 90,344.18

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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.