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Finding the Fourth Proportional to 100,992.82, 139,312.29 and 63,201.46

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Solution

The fourth proportional to 100,992.82, 139,312.29 and 63,201.46 is: 87,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,992.82 : 139,312.29 = 63,201.46 : x
  2. Step 2: Convert to fraction form
    100,992.82/139,312.29 = 63,201.46/x
  3. Step 3: Cross multiply
    100,992.82x = 139,312.29 × 63,201.46
  4. Step 4: Simplify right side
    100,992.82x = 8,804,740,123.94
  5. Step 5: Solve for x
    x = 8,804,740,123.94/100,992.82
  6. Step 6: Final answer
    x = 87,181.84

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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.