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Finding the Fourth Proportional to 137,415.78, 206,153.10 and 42,643.89

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Solution

The fourth proportional to 137,415.78, 206,153.10 and 42,643.89 is: 63,974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415.78 : 206,153.10 = 42,643.89 : x
  2. Step 2: Convert to fraction form
    137,415.78/206,153.10 = 42,643.89/x
  3. Step 3: Cross multiply
    137,415.78x = 206,153.10 × 42,643.89
  4. Step 4: Simplify right side
    137,415.78x = 8,791,170,119.56
  5. Step 5: Solve for x
    x = 8,791,170,119.56/137,415.78
  6. Step 6: Final answer
    x = 63,974.97

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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.