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Finding the Fourth Proportional to 221,515.94, 332,257.85 and 86,554.64

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Solution

The fourth proportional to 221,515.94, 332,257.85 and 86,554.64 is: 129,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,515.94 : 332,257.85 = 86,554.64 : x
  2. Step 2: Convert to fraction form
    221,515.94/332,257.85 = 86,554.64/x
  3. Step 3: Cross multiply
    221,515.94x = 332,257.85 × 86,554.64
  4. Step 4: Simplify right side
    221,515.94x = 28,758,459,316.38
  5. Step 5: Solve for x
    x = 28,758,459,316.38/221,515.94
  6. Step 6: Final answer
    x = 129,825.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.