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Finding the Fourth Proportional to 100,673.12, 138,910.84 and 57,065.82

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Solution

The fourth proportional to 100,673.12, 138,910.84 and 57,065.82 is: 78,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,673.12 : 138,910.84 = 57,065.82 : x
  2. Step 2: Convert to fraction form
    100,673.12/138,910.84 = 57,065.82/x
  3. Step 3: Cross multiply
    100,673.12x = 138,910.84 × 57,065.82
  4. Step 4: Simplify right side
    100,673.12x = 7,927,060,247.66
  5. Step 5: Solve for x
    x = 7,927,060,247.66/100,673.12
  6. Step 6: Final answer
    x = 78,740.59

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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.