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Finding the Fourth Proportional to 116,079.78, 160,131.14 and 75,817.11

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Solution

The fourth proportional to 116,079.78, 160,131.14 and 75,817.11 is: 104,589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,079.78 : 160,131.14 = 75,817.11 : x
  2. Step 2: Convert to fraction form
    116,079.78/160,131.14 = 75,817.11/x
  3. Step 3: Cross multiply
    116,079.78x = 160,131.14 × 75,817.11
  4. Step 4: Simplify right side
    116,079.78x = 12,140,681,188.00
  5. Step 5: Solve for x
    x = 12,140,681,188.00/116,079.78
  6. Step 6: Final answer
    x = 104,589.11

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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.