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Finding the Fourth Proportional to 115,971.75, 160,041.02 and 65,680.47

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Solution

The fourth proportional to 115,971.75, 160,041.02 and 65,680.47 is: 90,639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,971.75 : 160,041.02 = 65,680.47 : x
  2. Step 2: Convert to fraction form
    115,971.75/160,041.02 = 65,680.47/x
  3. Step 3: Cross multiply
    115,971.75x = 160,041.02 × 65,680.47
  4. Step 4: Simplify right side
    115,971.75x = 10,511,569,084.48
  5. Step 5: Solve for x
    x = 10,511,569,084.48/115,971.75
  6. Step 6: Final answer
    x = 90,639.05

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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.