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Finding the Fourth Proportional to 100,196.64, 138,269.52 and 57,756.96

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Solution

The fourth proportional to 100,196.64, 138,269.52 and 57,756.96 is: 79,703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,196.64 : 138,269.52 = 57,756.96 : x
  2. Step 2: Convert to fraction form
    100,196.64/138,269.52 = 57,756.96/x
  3. Step 3: Cross multiply
    100,196.64x = 138,269.52 × 57,756.96
  4. Step 4: Simplify right side
    100,196.64x = 7,986,027,135.86
  5. Step 5: Solve for x
    x = 7,986,027,135.86/100,196.64
  6. Step 6: Final answer
    x = 79,703.54

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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.