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Finding the Fourth Proportional to 215,915.40, 323,775.90 and 82,751.40

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Solution

The fourth proportional to 215,915.40, 323,775.90 and 82,751.40 is: 124,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,915.40 : 323,775.90 = 82,751.40 : x
  2. Step 2: Convert to fraction form
    215,915.40/323,775.90 = 82,751.40/x
  3. Step 3: Cross multiply
    215,915.40x = 323,775.90 × 82,751.40
  4. Step 4: Simplify right side
    215,915.40x = 26,792,909,011.26
  5. Step 5: Solve for x
    x = 26,792,909,011.26/215,915.40
  6. Step 6: Final answer
    x = 124,089.85

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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.