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Finding the Fourth Proportional to 115,999.17, 160,091.69 and 65,020.20

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Solution

The fourth proportional to 115,999.17, 160,091.69 and 65,020.20 is: 89,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,999.17 : 160,091.69 = 65,020.20 : x
  2. Step 2: Convert to fraction form
    115,999.17/160,091.69 = 65,020.20/x
  3. Step 3: Cross multiply
    115,999.17x = 160,091.69 × 65,020.20
  4. Step 4: Simplify right side
    115,999.17x = 10,409,193,377.04
  5. Step 5: Solve for x
    x = 10,409,193,377.04/115,999.17
  6. Step 6: Final answer
    x = 89,735.07

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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.