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Finding the Fourth Proportional to 89,463.78, 123,419.40 and 55,463.22

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Solution

The fourth proportional to 89,463.78, 123,419.40 and 55,463.22 is: 76,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,463.78 : 123,419.40 = 55,463.22 : x
  2. Step 2: Convert to fraction form
    89,463.78/123,419.40 = 55,463.22/x
  3. Step 3: Cross multiply
    89,463.78x = 123,419.40 × 55,463.22
  4. Step 4: Simplify right side
    89,463.78x = 6,845,237,334.47
  5. Step 5: Solve for x
    x = 6,845,237,334.47/89,463.78
  6. Step 6: Final answer
    x = 76,514.06

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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.