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Finding the Fourth Proportional to 206,734.71, 310,146.23 and 71,802.95

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Solution

The fourth proportional to 206,734.71, 310,146.23 and 71,802.95 is: 107,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,734.71 : 310,146.23 = 71,802.95 : x
  2. Step 2: Convert to fraction form
    206,734.71/310,146.23 = 71,802.95/x
  3. Step 3: Cross multiply
    206,734.71x = 310,146.23 × 71,802.95
  4. Step 4: Simplify right side
    206,734.71x = 22,269,415,200.25
  5. Step 5: Solve for x
    x = 22,269,415,200.25/206,734.71
  6. Step 6: Final answer
    x = 107,719.77

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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.