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Finding the Fourth Proportional to 101,756.25, 140,422.87 and 55,816.94

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Solution

The fourth proportional to 101,756.25, 140,422.87 and 55,816.94 is: 77,026.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,756.25 : 140,422.87 = 55,816.94 : x
  2. Step 2: Convert to fraction form
    101,756.25/140,422.87 = 55,816.94/x
  3. Step 3: Cross multiply
    101,756.25x = 140,422.87 × 55,816.94
  4. Step 4: Simplify right side
    101,756.25x = 7,837,974,630.33
  5. Step 5: Solve for x
    x = 7,837,974,630.33/101,756.25
  6. Step 6: Final answer
    x = 77,026.96

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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.