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Finding the Fourth Proportional to 84,842.79, 127,266 and 25,678.36

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Solution

The fourth proportional to 84,842.79, 127,266 and 25,678.36 is: 38,518.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,842.79 : 127,266 = 25,678.36 : x
  2. Step 2: Convert to fraction form
    84,842.79/127,266 = 25,678.36/x
  3. Step 3: Cross multiply
    84,842.79x = 127,266 × 25,678.36
  4. Step 4: Simplify right side
    84,842.79x = 3,267,982,163.76
  5. Step 5: Solve for x
    x = 3,267,982,163.76/84,842.79
  6. Step 6: Final answer
    x = 38,518.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.