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Finding the Fourth Proportional to 84,484.50, 126,726.75 and 22,155

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Solution

The fourth proportional to 84,484.50, 126,726.75 and 22,155 is: 33,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,484.50 : 126,726.75 = 22,155 : x
  2. Step 2: Convert to fraction form
    84,484.50/126,726.75 = 22,155/x
  3. Step 3: Cross multiply
    84,484.50x = 126,726.75 × 22,155
  4. Step 4: Simplify right side
    84,484.50x = 2,807,631,146.25
  5. Step 5: Solve for x
    x = 2,807,631,146.25/84,484.50
  6. Step 6: Final answer
    x = 33,232.50

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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.