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Finding the Fourth Proportional to 101,898.21, 140,388.21 and 78,848.78

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Solution

The fourth proportional to 101,898.21, 140,388.21 and 78,848.78 is: 108,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,898.21 : 140,388.21 = 78,848.78 : x
  2. Step 2: Convert to fraction form
    101,898.21/140,388.21 = 78,848.78/x
  3. Step 3: Cross multiply
    101,898.21x = 140,388.21 × 78,848.78
  4. Step 4: Simplify right side
    101,898.21x = 11,069,438,382.94
  5. Step 5: Solve for x
    x = 11,069,438,382.94/101,898.21
  6. Step 6: Final answer
    x = 108,632.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.