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Finding the Fourth Proportional to 171,233.52, 256,957.20 and 123,207

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Solution

The fourth proportional to 171,233.52, 256,957.20 and 123,207 is: 184,887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,233.52 : 256,957.20 = 123,207 : x
  2. Step 2: Convert to fraction form
    171,233.52/256,957.20 = 123,207/x
  3. Step 3: Cross multiply
    171,233.52x = 256,957.20 × 123,207
  4. Step 4: Simplify right side
    171,233.52x = 31,658,925,740.40
  5. Step 5: Solve for x
    x = 31,658,925,740.40/171,233.52
  6. Step 6: Final answer
    x = 184,887.43

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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.