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Finding the Fourth Proportional to 223,915.14, 309,016.95 and 123,313.14

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Solution

The fourth proportional to 223,915.14, 309,016.95 and 123,313.14 is: 170,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,915.14 : 309,016.95 = 123,313.14 : x
  2. Step 2: Convert to fraction form
    223,915.14/309,016.95 = 123,313.14/x
  3. Step 3: Cross multiply
    223,915.14x = 309,016.95 × 123,313.14
  4. Step 4: Simplify right side
    223,915.14x = 38,105,850,417.72
  5. Step 5: Solve for x
    x = 38,105,850,417.72/223,915.14
  6. Step 6: Final answer
    x = 170,179.87

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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.