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Finding the Fourth Proportional to 115,993.86, 160,131 and 71,307.78

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Solution

The fourth proportional to 115,993.86, 160,131 and 71,307.78 is: 98,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,993.86 : 160,131 = 71,307.78 : x
  2. Step 2: Convert to fraction form
    115,993.86/160,131 = 71,307.78/x
  3. Step 3: Cross multiply
    115,993.86x = 160,131 × 71,307.78
  4. Step 4: Simplify right side
    115,993.86x = 11,418,586,119.18
  5. Step 5: Solve for x
    x = 11,418,586,119.18/115,993.86
  6. Step 6: Final answer
    x = 98,441.30

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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.