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Finding the Fourth Proportional to 84,654.62, 126,870.51 and 47,232.30

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Solution

The fourth proportional to 84,654.62, 126,870.51 and 47,232.30 is: 70,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,654.62 : 126,870.51 = 47,232.30 : x
  2. Step 2: Convert to fraction form
    84,654.62/126,870.51 = 47,232.30/x
  3. Step 3: Cross multiply
    84,654.62x = 126,870.51 × 47,232.30
  4. Step 4: Simplify right side
    84,654.62x = 5,992,385,989.47
  5. Step 5: Solve for x
    x = 5,992,385,989.47/84,654.62
  6. Step 6: Final answer
    x = 70,786.28

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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.