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Finding the Fourth Proportional to 225,472,043.20, 338,208,064.80 and 81,846,212.80

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Solution

The fourth proportional to 225,472,043.20, 338,208,064.80 and 81,846,212.80 is: 122,769,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,472,043.20 : 338,208,064.80 = 81,846,212.80 : x
  2. Step 2: Convert to fraction form
    225,472,043.20/338,208,064.80 = 81,846,212.80/x
  3. Step 3: Cross multiply
    225,472,043.20x = 338,208,064.80 × 81,846,212.80
  4. Step 4: Simplify right side
    225,472,043.20x = 27,681,049,242,296,988
  5. Step 5: Solve for x
    x = 27,681,049,242,296,988/225,472,043.20
  6. Step 6: Final answer
    x = 122,769,319.20

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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.