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Finding the Fourth Proportional to 221,364.69, 332,089.71 and 71,642.13

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Solution

The fourth proportional to 221,364.69, 332,089.71 and 71,642.13 is: 107,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,364.69 : 332,089.71 = 71,642.13 : x
  2. Step 2: Convert to fraction form
    221,364.69/332,089.71 = 71,642.13/x
  3. Step 3: Cross multiply
    221,364.69x = 332,089.71 × 71,642.13
  4. Step 4: Simplify right side
    221,364.69x = 23,791,614,175.48
  5. Step 5: Solve for x
    x = 23,791,614,175.48/221,364.69
  6. Step 6: Final answer
    x = 107,477.01

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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.