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Finding the Fourth Proportional to 76,801, 115,208.10 and 21,397

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Solution

The fourth proportional to 76,801, 115,208.10 and 21,397 is: 32,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,801 : 115,208.10 = 21,397 : x
  2. Step 2: Convert to fraction form
    76,801/115,208.10 = 21,397/x
  3. Step 3: Cross multiply
    76,801x = 115,208.10 × 21,397
  4. Step 4: Simplify right side
    76,801x = 2,465,107,715.70
  5. Step 5: Solve for x
    x = 2,465,107,715.70/76,801
  6. Step 6: Final answer
    x = 32,097.34

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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.