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Finding the Fourth Proportional to 137,878.86, 206,851.56 and 47,908.48

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Solution

The fourth proportional to 137,878.86, 206,851.56 and 47,908.48 is: 71,874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,878.86 : 206,851.56 = 47,908.48 : x
  2. Step 2: Convert to fraction form
    137,878.86/206,851.56 = 47,908.48/x
  3. Step 3: Cross multiply
    137,878.86x = 206,851.56 × 47,908.48
  4. Step 4: Simplify right side
    137,878.86x = 9,909,943,825.23
  5. Step 5: Solve for x
    x = 9,909,943,825.23/137,878.86
  6. Step 6: Final answer
    x = 71,874.28

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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.