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Finding the Fourth Proportional to 136,963.55, 205,464.77 and 42,201.43

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Solution

The fourth proportional to 136,963.55, 205,464.77 and 42,201.43 is: 63,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,963.55 : 205,464.77 = 42,201.43 : x
  2. Step 2: Convert to fraction form
    136,963.55/205,464.77 = 42,201.43/x
  3. Step 3: Cross multiply
    136,963.55x = 205,464.77 × 42,201.43
  4. Step 4: Simplify right side
    136,963.55x = 8,670,907,108.62
  5. Step 5: Solve for x
    x = 8,670,907,108.62/136,963.55
  6. Step 6: Final answer
    x = 63,308.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.