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Finding the Fourth Proportional to 171,505.76, 257,346.47 and 81,650.13

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Solution

The fourth proportional to 171,505.76, 257,346.47 and 81,650.13 is: 122,517.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,505.76 : 257,346.47 = 81,650.13 : x
  2. Step 2: Convert to fraction form
    171,505.76/257,346.47 = 81,650.13/x
  3. Step 3: Cross multiply
    171,505.76x = 257,346.47 × 81,650.13
  4. Step 4: Simplify right side
    171,505.76x = 21,012,372,322.29
  5. Step 5: Solve for x
    x = 21,012,372,322.29/171,505.76
  6. Step 6: Final answer
    x = 122,517.01

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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.