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Finding the Fourth Proportional to 85,431.94, 127,975.62 and 71,530.80

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Solution

The fourth proportional to 85,431.94, 127,975.62 and 71,530.80 is: 107,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,431.94 : 127,975.62 = 71,530.80 : x
  2. Step 2: Convert to fraction form
    85,431.94/127,975.62 = 71,530.80/x
  3. Step 3: Cross multiply
    85,431.94x = 127,975.62 × 71,530.80
  4. Step 4: Simplify right side
    85,431.94x = 9,154,198,479.10
  5. Step 5: Solve for x
    x = 9,154,198,479.10/85,431.94
  6. Step 6: Final answer
    x = 107,151.94

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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.