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Finding the Fourth Proportional to 223,335.77, 308,251.97 and 137,368.64

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Solution

The fourth proportional to 223,335.77, 308,251.97 and 137,368.64 is: 189,598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,335.77 : 308,251.97 = 137,368.64 : x
  2. Step 2: Convert to fraction form
    223,335.77/308,251.97 = 137,368.64/x
  3. Step 3: Cross multiply
    223,335.77x = 308,251.97 × 137,368.64
  4. Step 4: Simplify right side
    223,335.77x = 42,344,151,668.12
  5. Step 5: Solve for x
    x = 42,344,151,668.12/223,335.77
  6. Step 6: Final answer
    x = 189,598.61

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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.