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Finding the Fourth Proportional to 137,840.64, 206,726.40 and 100,836.48

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Solution

The fourth proportional to 137,840.64, 206,726.40 and 100,836.48 is: 151,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,840.64 : 206,726.40 = 100,836.48 : x
  2. Step 2: Convert to fraction form
    137,840.64/206,726.40 = 100,836.48/x
  3. Step 3: Cross multiply
    137,840.64x = 206,726.40 × 100,836.48
  4. Step 4: Simplify right side
    137,840.64x = 20,845,562,499.07
  5. Step 5: Solve for x
    x = 20,845,562,499.07/137,840.64
  6. Step 6: Final answer
    x = 151,229.44

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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.