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Finding the Fourth Proportional to 161,115.76, 222,335.16 and 89,494

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Solution

The fourth proportional to 161,115.76, 222,335.16 and 89,494 is: 123,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,115.76 : 222,335.16 = 89,494 : x
  2. Step 2: Convert to fraction form
    161,115.76/222,335.16 = 89,494/x
  3. Step 3: Cross multiply
    161,115.76x = 222,335.16 × 89,494
  4. Step 4: Simplify right side
    161,115.76x = 19,897,662,809.04
  5. Step 5: Solve for x
    x = 19,897,662,809.04/161,115.76
  6. Step 6: Final answer
    x = 123,499.17

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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.