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Finding the Fourth Proportional to 223,707, 308,706.32 and 123,098.52

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Solution

The fourth proportional to 223,707, 308,706.32 and 123,098.52 is: 169,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,707 : 308,706.32 = 123,098.52 : x
  2. Step 2: Convert to fraction form
    223,707/308,706.32 = 123,098.52/x
  3. Step 3: Cross multiply
    223,707x = 308,706.32 × 123,098.52
  4. Step 4: Simplify right side
    223,707x = 38,001,291,106.65
  5. Step 5: Solve for x
    x = 38,001,291,106.65/223,707
  6. Step 6: Final answer
    x = 169,870.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.