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Finding the Fourth Proportional to 171,354.28, 256,878.84 and 81,341.46

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Solution

The fourth proportional to 171,354.28, 256,878.84 and 81,341.46 is: 121,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,354.28 : 256,878.84 = 81,341.46 : x
  2. Step 2: Convert to fraction form
    171,354.28/256,878.84 = 81,341.46/x
  3. Step 3: Cross multiply
    171,354.28x = 256,878.84 × 81,341.46
  4. Step 4: Simplify right side
    171,354.28x = 20,894,899,888.71
  5. Step 5: Solve for x
    x = 20,894,899,888.71/171,354.28
  6. Step 6: Final answer
    x = 121,939.76

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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.