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Finding the Fourth Proportional to 213,257.49, 319,631.76 and 99,251.88

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Solution

The fourth proportional to 213,257.49, 319,631.76 and 99,251.88 is: 148,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,257.49 : 319,631.76 = 99,251.88 : x
  2. Step 2: Convert to fraction form
    213,257.49/319,631.76 = 99,251.88/x
  3. Step 3: Cross multiply
    213,257.49x = 319,631.76 × 99,251.88
  4. Step 4: Simplify right side
    213,257.49x = 31,724,053,087.71
  5. Step 5: Solve for x
    x = 31,724,053,087.71/213,257.49
  6. Step 6: Final answer
    x = 148,759.39

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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.