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Finding the Fourth Proportional to 203,963.86, 306,098.97 and 104,207.50

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Solution

The fourth proportional to 203,963.86, 306,098.97 and 104,207.50 is: 156,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,963.86 : 306,098.97 = 104,207.50 : x
  2. Step 2: Convert to fraction form
    203,963.86/306,098.97 = 104,207.50/x
  3. Step 3: Cross multiply
    203,963.86x = 306,098.97 × 104,207.50
  4. Step 4: Simplify right side
    203,963.86x = 31,897,808,416.28
  5. Step 5: Solve for x
    x = 31,897,808,416.28/203,963.86
  6. Step 6: Final answer
    x = 156,389.51

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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.