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Finding the Fourth Proportional to 100,461, 138,635.31 and 55,140.90

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Solution

The fourth proportional to 100,461, 138,635.31 and 55,140.90 is: 76,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,461 : 138,635.31 = 55,140.90 : x
  2. Step 2: Convert to fraction form
    100,461/138,635.31 = 55,140.90/x
  3. Step 3: Cross multiply
    100,461x = 138,635.31 × 55,140.90
  4. Step 4: Simplify right side
    100,461x = 7,644,475,765.18
  5. Step 5: Solve for x
    x = 7,644,475,765.18/100,461
  6. Step 6: Final answer
    x = 76,093.96

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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.