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Finding the Fourth Proportional to 223,488.09, 308,424.65 and 138,632.49

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Solution

The fourth proportional to 223,488.09, 308,424.65 and 138,632.49 is: 191,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,488.09 : 308,424.65 = 138,632.49 : x
  2. Step 2: Convert to fraction form
    223,488.09/308,424.65 = 138,632.49/x
  3. Step 3: Cross multiply
    223,488.09x = 308,424.65 × 138,632.49
  4. Step 4: Simplify right side
    223,488.09x = 42,757,676,513.72
  5. Step 5: Solve for x
    x = 42,757,676,513.72/223,488.09
  6. Step 6: Final answer
    x = 191,319.71

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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.