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Finding the Fourth Proportional to 161,069, 222,278.16 and 89,455.64

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Solution

The fourth proportional to 161,069, 222,278.16 and 89,455.64 is: 123,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,069 : 222,278.16 = 89,455.64 : x
  2. Step 2: Convert to fraction form
    161,069/222,278.16 = 89,455.64/x
  3. Step 3: Cross multiply
    161,069x = 222,278.16 × 89,455.64
  4. Step 4: Simplify right side
    161,069x = 19,884,035,060.82
  5. Step 5: Solve for x
    x = 19,884,035,060.82/161,069
  6. Step 6: Final answer
    x = 123,450.42

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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.