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Finding the Fourth Proportional to 99,464.90, 137,259.77 and 54,143.78

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Solution

The fourth proportional to 99,464.90, 137,259.77 and 54,143.78 is: 74,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,464.90 : 137,259.77 = 54,143.78 : x
  2. Step 2: Convert to fraction form
    99,464.90/137,259.77 = 54,143.78/x
  3. Step 3: Cross multiply
    99,464.90x = 137,259.77 × 54,143.78
  4. Step 4: Simplify right side
    99,464.90x = 7,431,761,832.71
  5. Step 5: Solve for x
    x = 7,431,761,832.71/99,464.90
  6. Step 6: Final answer
    x = 74,717.44

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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.