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Finding the Fourth Proportional to 138,415.96, 206,865.44 and 101,054.71

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Solution

The fourth proportional to 138,415.96, 206,865.44 and 101,054.71 is: 151,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,415.96 : 206,865.44 = 101,054.71 : x
  2. Step 2: Convert to fraction form
    138,415.96/206,865.44 = 101,054.71/x
  3. Step 3: Cross multiply
    138,415.96x = 206,865.44 × 101,054.71
  4. Step 4: Simplify right side
    138,415.96x = 20,904,727,048.22
  5. Step 5: Solve for x
    x = 20,904,727,048.22/138,415.96
  6. Step 6: Final answer
    x = 151,028.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.