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Finding the Fourth Proportional to 115,992.63, 160,081.07 and 65,014.02

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Solution

The fourth proportional to 115,992.63, 160,081.07 and 65,014.02 is: 89,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,992.63 : 160,081.07 = 65,014.02 : x
  2. Step 2: Convert to fraction form
    115,992.63/160,081.07 = 65,014.02/x
  3. Step 3: Cross multiply
    115,992.63x = 160,081.07 × 65,014.02
  4. Step 4: Simplify right side
    115,992.63x = 10,407,513,561.53
  5. Step 5: Solve for x
    x = 10,407,513,561.53/115,992.63
  6. Step 6: Final answer
    x = 89,725.65

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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.