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Finding the Fourth Proportional to 84,564, 126,892.62 and 47,145.06

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Solution

The fourth proportional to 84,564, 126,892.62 and 47,145.06 is: 70,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,564 : 126,892.62 = 47,145.06 : x
  2. Step 2: Convert to fraction form
    84,564/126,892.62 = 47,145.06/x
  3. Step 3: Cross multiply
    84,564x = 126,892.62 × 47,145.06
  4. Step 4: Simplify right side
    84,564x = 5,982,360,183.46
  5. Step 5: Solve for x
    x = 5,982,360,183.46/84,564
  6. Step 6: Final answer
    x = 70,743.58

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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.