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Finding the Fourth Proportional to 75,255.78, 103,844.52 and 43,435.20

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Solution

The fourth proportional to 75,255.78, 103,844.52 and 43,435.20 is: 59,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,255.78 : 103,844.52 = 43,435.20 : x
  2. Step 2: Convert to fraction form
    75,255.78/103,844.52 = 43,435.20/x
  3. Step 3: Cross multiply
    75,255.78x = 103,844.52 × 43,435.20
  4. Step 4: Simplify right side
    75,255.78x = 4,510,507,495.10
  5. Step 5: Solve for x
    x = 4,510,507,495.10/75,255.78
  6. Step 6: Final answer
    x = 59,935.70

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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.