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Finding the Fourth Proportional to 100,468, 138,647.46 and 55,756

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Solution

The fourth proportional to 100,468, 138,647.46 and 55,756 is: 76,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,468 : 138,647.46 = 55,756 : x
  2. Step 2: Convert to fraction form
    100,468/138,647.46 = 55,756/x
  3. Step 3: Cross multiply
    100,468x = 138,647.46 × 55,756
  4. Step 4: Simplify right side
    100,468x = 7,730,427,779.76
  5. Step 5: Solve for x
    x = 7,730,427,779.76/100,468
  6. Step 6: Final answer
    x = 76,944.18

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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.