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Finding the Fourth Proportional to 161,465.84, 222,820.08 and 89,843.84

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Solution

The fourth proportional to 161,465.84, 222,820.08 and 89,843.84 is: 123,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,465.84 : 222,820.08 = 89,843.84 : x
  2. Step 2: Convert to fraction form
    161,465.84/222,820.08 = 89,843.84/x
  3. Step 3: Cross multiply
    161,465.84x = 222,820.08 × 89,843.84
  4. Step 4: Simplify right side
    161,465.84x = 20,019,011,616.31
  5. Step 5: Solve for x
    x = 20,019,011,616.31/161,465.84
  6. Step 6: Final answer
    x = 123,982.95

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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.