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Finding the Fourth Proportional to 225,821.76, 311,617.08 and 123,830.88

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Solution

The fourth proportional to 225,821.76, 311,617.08 and 123,830.88 is: 170,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,821.76 : 311,617.08 = 123,830.88 : x
  2. Step 2: Convert to fraction form
    225,821.76/311,617.08 = 123,830.88/x
  3. Step 3: Cross multiply
    225,821.76x = 311,617.08 × 123,830.88
  4. Step 4: Simplify right side
    225,821.76x = 38,587,817,239.43
  5. Step 5: Solve for x
    x = 38,587,817,239.43/225,821.76
  6. Step 6: Final answer
    x = 170,877.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.