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Finding the Fourth Proportional to 278,723.84, 418,148.05 and 89,195.59

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Solution

The fourth proportional to 278,723.84, 418,148.05 and 89,195.59 is: 133,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,723.84 : 418,148.05 = 89,195.59 : x
  2. Step 2: Convert to fraction form
    278,723.84/418,148.05 = 89,195.59/x
  3. Step 3: Cross multiply
    278,723.84x = 418,148.05 × 89,195.59
  4. Step 4: Simplify right side
    278,723.84x = 37,296,959,490.38
  5. Step 5: Solve for x
    x = 37,296,959,490.38/278,723.84
  6. Step 6: Final answer
    x = 133,813.31

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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.