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Finding the Fourth Proportional to 100,678.56, 138,928.22 and 59,279

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Solution

The fourth proportional to 100,678.56, 138,928.22 and 59,279 is: 81,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,678.56 : 138,928.22 = 59,279 : x
  2. Step 2: Convert to fraction form
    100,678.56/138,928.22 = 59,279/x
  3. Step 3: Cross multiply
    100,678.56x = 138,928.22 × 59,279
  4. Step 4: Simplify right side
    100,678.56x = 8,235,525,953.38
  5. Step 5: Solve for x
    x = 8,235,525,953.38/100,678.56
  6. Step 6: Final answer
    x = 81,800.20

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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.