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Finding the Fourth Proportional to 161,214.29, 222,406.71 and 100,679.84

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Solution

The fourth proportional to 161,214.29, 222,406.71 and 100,679.84 is: 138,895.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,214.29 : 222,406.71 = 100,679.84 : x
  2. Step 2: Convert to fraction form
    161,214.29/222,406.71 = 100,679.84/x
  3. Step 3: Cross multiply
    161,214.29x = 222,406.71 × 100,679.84
  4. Step 4: Simplify right side
    161,214.29x = 22,391,871,977.73
  5. Step 5: Solve for x
    x = 22,391,871,977.73/161,214.29
  6. Step 6: Final answer
    x = 138,895.08

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1.5x scale

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.