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Finding the Fourth Proportional to 115,951.50, 160,013.25 and 65,660.22

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Solution

The fourth proportional to 115,951.50, 160,013.25 and 65,660.22 is: 90,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,951.50 : 160,013.25 = 65,660.22 : x
  2. Step 2: Convert to fraction form
    115,951.50/160,013.25 = 65,660.22/x
  3. Step 3: Cross multiply
    115,951.50x = 160,013.25 × 65,660.22
  4. Step 4: Simplify right side
    115,951.50x = 10,506,505,197.92
  5. Step 5: Solve for x
    x = 10,506,505,197.92/115,951.50
  6. Step 6: Final answer
    x = 90,611.21

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1.5x scale

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.