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Finding the Fourth Proportional to 221,302.84, 305,396.48 and 125,809.56

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Solution

The fourth proportional to 221,302.84, 305,396.48 and 125,809.56 is: 173,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,302.84 : 305,396.48 = 125,809.56 : x
  2. Step 2: Convert to fraction form
    221,302.84/305,396.48 = 125,809.56/x
  3. Step 3: Cross multiply
    221,302.84x = 305,396.48 × 125,809.56
  4. Step 4: Simplify right side
    221,302.84x = 38,421,796,774.35
  5. Step 5: Solve for x
    x = 38,421,796,774.35/221,302.84
  6. Step 6: Final answer
    x = 173,616.37

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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.