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Finding the Fourth Proportional to 218,855.28, 328,151.70 and 106,313.88

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Solution

The fourth proportional to 218,855.28, 328,151.70 and 106,313.88 is: 159,407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,855.28 : 328,151.70 = 106,313.88 : x
  2. Step 2: Convert to fraction form
    218,855.28/328,151.70 = 106,313.88/x
  3. Step 3: Cross multiply
    218,855.28x = 328,151.70 × 106,313.88
  4. Step 4: Simplify right side
    218,855.28x = 34,887,080,455.60
  5. Step 5: Solve for x
    x = 34,887,080,455.60/218,855.28
  6. Step 6: Final answer
    x = 159,407.08

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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.