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Finding the Fourth Proportional to 221,778.81, 332,598.40 and 71,984.49

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Solution

The fourth proportional to 221,778.81, 332,598.40 and 71,984.49 is: 107,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,778.81 : 332,598.40 = 71,984.49 : x
  2. Step 2: Convert to fraction form
    221,778.81/332,598.40 = 71,984.49/x
  3. Step 3: Cross multiply
    221,778.81x = 332,598.40 × 71,984.49
  4. Step 4: Simplify right side
    221,778.81x = 23,941,925,838.89
  5. Step 5: Solve for x
    x = 23,941,925,838.89/221,778.81
  6. Step 6: Final answer
    x = 107,954.08

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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.