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Finding the Fourth Proportional to 100,264, 138,364.34 and 59,979.46

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Solution

The fourth proportional to 100,264, 138,364.34 and 59,979.46 is: 82,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,264 : 138,364.34 = 59,979.46 : x
  2. Step 2: Convert to fraction form
    100,264/138,364.34 = 59,979.46/x
  3. Step 3: Cross multiply
    100,264x = 138,364.34 × 59,979.46
  4. Step 4: Simplify right side
    100,264x = 8,299,018,096.56
  5. Step 5: Solve for x
    x = 8,299,018,096.56/100,264
  6. Step 6: Final answer
    x = 82,771.66

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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.