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Finding the Fourth Proportional to 100,764.75, 139,055.49 and 56,052.75

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Solution

The fourth proportional to 100,764.75, 139,055.49 and 56,052.75 is: 77,352.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,764.75 : 139,055.49 = 56,052.75 : x
  2. Step 2: Convert to fraction form
    100,764.75/139,055.49 = 56,052.75/x
  3. Step 3: Cross multiply
    100,764.75x = 139,055.49 × 56,052.75
  4. Step 4: Simplify right side
    100,764.75x = 7,794,442,617.10
  5. Step 5: Solve for x
    x = 7,794,442,617.10/100,764.75
  6. Step 6: Final answer
    x = 77,352.87

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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.