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Finding the Fourth Proportional to 136,961.55, 205,461.77 and 42,199.43

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Solution

The fourth proportional to 136,961.55, 205,461.77 and 42,199.43 is: 63,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,961.55 : 205,461.77 = 42,199.43 : x
  2. Step 2: Convert to fraction form
    136,961.55/205,461.77 = 42,199.43/x
  3. Step 3: Cross multiply
    136,961.55x = 205,461.77 × 42,199.43
  4. Step 4: Simplify right side
    136,961.55x = 8,670,368,342.49
  5. Step 5: Solve for x
    x = 8,670,368,342.49/136,961.55
  6. Step 6: Final answer
    x = 63,305.13

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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.