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Finding the Fourth Proportional to 171,121.88, 256,501.80 and 64,459.68

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Solution

The fourth proportional to 171,121.88, 256,501.80 and 64,459.68 is: 96,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,121.88 : 256,501.80 = 64,459.68 : x
  2. Step 2: Convert to fraction form
    171,121.88/256,501.80 = 64,459.68/x
  3. Step 3: Cross multiply
    171,121.88x = 256,501.80 × 64,459.68
  4. Step 4: Simplify right side
    171,121.88x = 16,534,023,947.42
  5. Step 5: Solve for x
    x = 16,534,023,947.42/171,121.88
  6. Step 6: Final answer
    x = 96,621.33

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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.