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Finding the Fourth Proportional to 150,421, 207,581 and 83,353

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Solution

The fourth proportional to 150,421, 207,581 and 83,353 is: 115,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,421 : 207,581 = 83,353 : x
  2. Step 2: Convert to fraction form
    150,421/207,581 = 83,353/x
  3. Step 3: Cross multiply
    150,421x = 207,581 × 83,353
  4. Step 4: Simplify right side
    150,421x = 17,302,499,093
  5. Step 5: Solve for x
    x = 17,302,499,093/150,421
  6. Step 6: Final answer
    x = 115,027.15

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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.