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Finding the Fourth Proportional to 101,673.90, 140,311.14 and 56,352.78

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Solution

The fourth proportional to 101,673.90, 140,311.14 and 56,352.78 is: 77,767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,673.90 : 140,311.14 = 56,352.78 : x
  2. Step 2: Convert to fraction form
    101,673.90/140,311.14 = 56,352.78/x
  3. Step 3: Cross multiply
    101,673.90x = 140,311.14 × 56,352.78
  4. Step 4: Simplify right side
    101,673.90x = 7,906,922,803.97
  5. Step 5: Solve for x
    x = 7,906,922,803.97/101,673.90
  6. Step 6: Final answer
    x = 77,767.48

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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.