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Finding the Fourth Proportional to 150,289, 207,398.82 and 83,221

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Solution

The fourth proportional to 150,289, 207,398.82 and 83,221 is: 114,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,289 : 207,398.82 = 83,221 : x
  2. Step 2: Convert to fraction form
    150,289/207,398.82 = 83,221/x
  3. Step 3: Cross multiply
    150,289x = 207,398.82 × 83,221
  4. Step 4: Simplify right side
    150,289x = 17,259,937,199.22
  5. Step 5: Solve for x
    x = 17,259,937,199.22/150,289
  6. Step 6: Final answer
    x = 114,844.98

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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.