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Finding the Fourth Proportional to 206,957.23, 310,474.32 and 72,015.68

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Solution

The fourth proportional to 206,957.23, 310,474.32 and 72,015.68 is: 108,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,957.23 : 310,474.32 = 72,015.68 : x
  2. Step 2: Convert to fraction form
    206,957.23/310,474.32 = 72,015.68/x
  3. Step 3: Cross multiply
    206,957.23x = 310,474.32 × 72,015.68
  4. Step 4: Simplify right side
    206,957.23x = 22,359,019,783.46
  5. Step 5: Solve for x
    x = 22,359,019,783.46/206,957.23
  6. Step 6: Final answer
    x = 108,036.91

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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.