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Finding the Fourth Proportional to 171,896.16, 257,856.66 and 71,955.84

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Solution

The fourth proportional to 171,896.16, 257,856.66 and 71,955.84 is: 107,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,896.16 : 257,856.66 = 71,955.84 : x
  2. Step 2: Convert to fraction form
    171,896.16/257,856.66 = 71,955.84/x
  3. Step 3: Cross multiply
    171,896.16x = 257,856.66 × 71,955.84
  4. Step 4: Simplify right side
    171,896.16x = 18,554,292,569.89
  5. Step 5: Solve for x
    x = 18,554,292,569.89/171,896.16
  6. Step 6: Final answer
    x = 107,938.96

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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.