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Finding the Fourth Proportional to 85,942.32, 128,568.88 and 71,180

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Solution

The fourth proportional to 85,942.32, 128,568.88 and 71,180 is: 106,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,942.32 : 128,568.88 = 71,180 : x
  2. Step 2: Convert to fraction form
    85,942.32/128,568.88 = 71,180/x
  3. Step 3: Cross multiply
    85,942.32x = 128,568.88 × 71,180
  4. Step 4: Simplify right side
    85,942.32x = 9,151,532,878.40
  5. Step 5: Solve for x
    x = 9,151,532,878.40/85,942.32
  6. Step 6: Final answer
    x = 106,484.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.