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Finding the Fourth Proportional to 171,903.16, 257,867.16 and 71,962.84

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Solution

The fourth proportional to 171,903.16, 257,867.16 and 71,962.84 is: 107,949.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,903.16 : 257,867.16 = 71,962.84 : x
  2. Step 2: Convert to fraction form
    171,903.16/257,867.16 = 71,962.84/x
  3. Step 3: Cross multiply
    171,903.16x = 257,867.16 × 71,962.84
  4. Step 4: Simplify right side
    171,903.16x = 18,556,853,176.33
  5. Step 5: Solve for x
    x = 18,556,853,176.33/171,903.16
  6. Step 6: Final answer
    x = 107,949.46

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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.