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Finding the Fourth Proportional to 206,979.30, 310,468.95 and 102,003.30

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Solution

The fourth proportional to 206,979.30, 310,468.95 and 102,003.30 is: 153,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,979.30 : 310,468.95 = 102,003.30 : x
  2. Step 2: Convert to fraction form
    206,979.30/310,468.95 = 102,003.30/x
  3. Step 3: Cross multiply
    206,979.30x = 310,468.95 × 102,003.30
  4. Step 4: Simplify right side
    206,979.30x = 31,668,857,447.54
  5. Step 5: Solve for x
    x = 31,668,857,447.54/206,979.30
  6. Step 6: Final answer
    x = 153,004.95

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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.