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Finding the Fourth Proportional to 221,769, 332,706.15 and 72,009.72

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Solution

The fourth proportional to 221,769, 332,706.15 and 72,009.72 is: 108,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,769 : 332,706.15 = 72,009.72 : x
  2. Step 2: Convert to fraction form
    221,769/332,706.15 = 72,009.72/x
  3. Step 3: Cross multiply
    221,769x = 332,706.15 × 72,009.72
  4. Step 4: Simplify right side
    221,769x = 23,958,076,703.78
  5. Step 5: Solve for x
    x = 23,958,076,703.78/221,769
  6. Step 6: Final answer
    x = 108,031.68

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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.