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Finding the Fourth Proportional to 84,222.40, 126,323.80 and 21,897.76

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Solution

The fourth proportional to 84,222.40, 126,323.80 and 21,897.76 is: 32,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,222.40 : 126,323.80 = 21,897.76 : x
  2. Step 2: Convert to fraction form
    84,222.40/126,323.80 = 21,897.76/x
  3. Step 3: Cross multiply
    84,222.40x = 126,323.80 × 21,897.76
  4. Step 4: Simplify right side
    84,222.40x = 2,766,208,254.69
  5. Step 5: Solve for x
    x = 2,766,208,254.69/84,222.40
  6. Step 6: Final answer
    x = 32,844.09

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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.