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Finding the Fourth Proportional to 137,199.78, 205,813.17 and 42,426.27

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Solution

The fourth proportional to 137,199.78, 205,813.17 and 42,426.27 is: 63,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,199.78 : 205,813.17 = 42,426.27 : x
  2. Step 2: Convert to fraction form
    137,199.78/205,813.17 = 42,426.27/x
  3. Step 3: Cross multiply
    137,199.78x = 205,813.17 × 42,426.27
  4. Step 4: Simplify right side
    137,199.78x = 8,731,885,119.98
  5. Step 5: Solve for x
    x = 8,731,885,119.98/137,199.78
  6. Step 6: Final answer
    x = 63,643.58

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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.