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Finding the Fourth Proportional to 161,417.48, 222,756.54 and 89,798

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Solution

The fourth proportional to 161,417.48, 222,756.54 and 89,798 is: 123,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,417.48 : 222,756.54 = 89,798 : x
  2. Step 2: Convert to fraction form
    161,417.48/222,756.54 = 89,798/x
  3. Step 3: Cross multiply
    161,417.48x = 222,756.54 × 89,798
  4. Step 4: Simplify right side
    161,417.48x = 20,003,091,778.92
  5. Step 5: Solve for x
    x = 20,003,091,778.92/161,417.48
  6. Step 6: Final answer
    x = 123,921.47

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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.