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Finding the Fourth Proportional to 221,931, 306,265.86 and 121,329

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Solution

The fourth proportional to 221,931, 306,265.86 and 121,329 is: 167,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,931 : 306,265.86 = 121,329 : x
  2. Step 2: Convert to fraction form
    221,931/306,265.86 = 121,329/x
  3. Step 3: Cross multiply
    221,931x = 306,265.86 × 121,329
  4. Step 4: Simplify right side
    221,931x = 37,158,930,527.94
  5. Step 5: Solve for x
    x = 37,158,930,527.94/221,931
  6. Step 6: Final answer
    x = 167,434.61

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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.