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Finding the Fourth Proportional to 171,196.56, 256,655.66 and 71,431.08

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Solution

The fourth proportional to 171,196.56, 256,655.66 and 71,431.08 is: 107,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,196.56 : 256,655.66 = 71,431.08 : x
  2. Step 2: Convert to fraction form
    171,196.56/256,655.66 = 71,431.08/x
  3. Step 3: Cross multiply
    171,196.56x = 256,655.66 × 71,431.08
  4. Step 4: Simplify right side
    171,196.56x = 18,333,190,981.91
  5. Step 5: Solve for x
    x = 18,333,190,981.91/171,196.56
  6. Step 6: Final answer
    x = 107,088.55

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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.