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Finding the Fourth Proportional to 100,875.78, 138,952.26 and 76,960.94

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Solution

The fourth proportional to 100,875.78, 138,952.26 and 76,960.94 is: 106,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,875.78 : 138,952.26 = 76,960.94 : x
  2. Step 2: Convert to fraction form
    100,875.78/138,952.26 = 76,960.94/x
  3. Step 3: Cross multiply
    100,875.78x = 138,952.26 × 76,960.94
  4. Step 4: Simplify right side
    100,875.78x = 10,693,895,849.96
  5. Step 5: Solve for x
    x = 10,693,895,849.96/100,875.78
  6. Step 6: Final answer
    x = 106,010.54

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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.