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Finding the Fourth Proportional to 171,057.76, 256,448.16 and 71,292.88

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Solution

The fourth proportional to 171,057.76, 256,448.16 and 71,292.88 is: 106,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,057.76 : 256,448.16 = 71,292.88 : x
  2. Step 2: Convert to fraction form
    171,057.76/256,448.16 = 71,292.88/x
  3. Step 3: Cross multiply
    171,057.76x = 256,448.16 × 71,292.88
  4. Step 4: Simplify right side
    171,057.76x = 18,282,927,897.10
  5. Step 5: Solve for x
    x = 18,282,927,897.10/171,057.76
  6. Step 6: Final answer
    x = 106,881.60

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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.