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Finding the Fourth Proportional to 223,006, 307,743.18 and 121,031.65

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Solution

The fourth proportional to 223,006, 307,743.18 and 121,031.65 is: 167,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,006 : 307,743.18 = 121,031.65 : x
  2. Step 2: Convert to fraction form
    223,006/307,743.18 = 121,031.65/x
  3. Step 3: Cross multiply
    223,006x = 307,743.18 × 121,031.65
  4. Step 4: Simplify right side
    223,006x = 37,246,664,851.65
  5. Step 5: Solve for x
    x = 37,246,664,851.65/223,006
  6. Step 6: Final answer
    x = 167,020.91

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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.