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Finding the Fourth Proportional to 206,869.23, 310,014.54 and 111,894.30

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Solution

The fourth proportional to 206,869.23, 310,014.54 and 111,894.30 is: 167,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,869.23 : 310,014.54 = 111,894.30 : x
  2. Step 2: Convert to fraction form
    206,869.23/310,014.54 = 111,894.30/x
  3. Step 3: Cross multiply
    206,869.23x = 310,014.54 × 111,894.30
  4. Step 4: Simplify right side
    206,869.23x = 34,688,859,943.12
  5. Step 5: Solve for x
    x = 34,688,859,943.12/206,869.23
  6. Step 6: Final answer
    x = 167,684.97

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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.