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Finding the Fourth Proportional to 101,683.62, 140,331.82 and 56,375.82

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Solution

The fourth proportional to 101,683.62, 140,331.82 and 56,375.82 is: 77,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,683.62 : 140,331.82 = 56,375.82 : x
  2. Step 2: Convert to fraction form
    101,683.62/140,331.82 = 56,375.82/x
  3. Step 3: Cross multiply
    101,683.62x = 140,331.82 × 56,375.82
  4. Step 4: Simplify right side
    101,683.62x = 7,911,321,424.59
  5. Step 5: Solve for x
    x = 7,911,321,424.59/101,683.62
  6. Step 6: Final answer
    x = 77,803.30

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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.