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Finding the Fourth Proportional to 223,915.72, 309,002.34 and 123,313

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Solution

The fourth proportional to 223,915.72, 309,002.34 and 123,313 is: 170,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,915.72 : 309,002.34 = 123,313 : x
  2. Step 2: Convert to fraction form
    223,915.72/309,002.34 = 123,313/x
  3. Step 3: Cross multiply
    223,915.72x = 309,002.34 × 123,313
  4. Step 4: Simplify right side
    223,915.72x = 38,104,005,552.42
  5. Step 5: Solve for x
    x = 38,104,005,552.42/223,915.72
  6. Step 6: Final answer
    x = 170,171.19

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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.