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Finding the Fourth Proportional to 221,454, 305,622.95 and 125,991.45

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Solution

The fourth proportional to 221,454, 305,622.95 and 125,991.45 is: 173,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,454 : 305,622.95 = 125,991.45 : x
  2. Step 2: Convert to fraction form
    221,454/305,622.95 = 125,991.45/x
  3. Step 3: Cross multiply
    221,454x = 305,622.95 × 125,991.45
  4. Step 4: Simplify right side
    221,454x = 38,505,877,993.82
  5. Step 5: Solve for x
    x = 38,505,877,993.82/221,454
  6. Step 6: Final answer
    x = 173,877.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.