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Finding the Fourth Proportional to 21,195,220.80, 31,796,978.40 and 9,064,660.80

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Solution

The fourth proportional to 21,195,220.80, 31,796,978.40 and 9,064,660.80 is: 13,598,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,195,220.80 : 31,796,978.40 = 9,064,660.80 : x
  2. Step 2: Convert to fraction form
    21,195,220.80/31,796,978.40 = 9,064,660.80/x
  3. Step 3: Cross multiply
    21,195,220.80x = 31,796,978.40 × 9,064,660.80
  4. Step 4: Simplify right side
    21,195,220.80x = 288,228,823,660,926.75
  5. Step 5: Solve for x
    x = 288,228,823,660,926.75/21,195,220.80
  6. Step 6: Final answer
    x = 13,598,764.85

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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.