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Finding the Fourth Proportional to 100,181.68, 138,219.42 and 57,734.44

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Solution

The fourth proportional to 100,181.68, 138,219.42 and 57,734.44 is: 79,655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,181.68 : 138,219.42 = 57,734.44 : x
  2. Step 2: Convert to fraction form
    100,181.68/138,219.42 = 57,734.44/x
  3. Step 3: Cross multiply
    100,181.68x = 138,219.42 × 57,734.44
  4. Step 4: Simplify right side
    100,181.68x = 7,980,020,810.82
  5. Step 5: Solve for x
    x = 7,980,020,810.82/100,181.68
  6. Step 6: Final answer
    x = 79,655.49

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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.