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Finding the Fourth Proportional to 137,978.78, 206,968.16 and 43,216.37

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Solution

The fourth proportional to 137,978.78, 206,968.16 and 43,216.37 is: 64,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,978.78 : 206,968.16 = 43,216.37 : x
  2. Step 2: Convert to fraction form
    137,978.78/206,968.16 = 43,216.37/x
  3. Step 3: Cross multiply
    137,978.78x = 206,968.16 × 43,216.37
  4. Step 4: Simplify right side
    137,978.78x = 8,944,412,430.11
  5. Step 5: Solve for x
    x = 8,944,412,430.11/137,978.78
  6. Step 6: Final answer
    x = 64,824.55

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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.