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Finding the Fourth Proportional to 221,524.61, 332,270.80 and 86,563.40

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Solution

The fourth proportional to 221,524.61, 332,270.80 and 86,563.40 is: 129,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,524.61 : 332,270.80 = 86,563.40 : x
  2. Step 2: Convert to fraction form
    221,524.61/332,270.80 = 86,563.40/x
  3. Step 3: Cross multiply
    221,524.61x = 332,270.80 × 86,563.40
  4. Step 4: Simplify right side
    221,524.61x = 28,762,490,782.99
  5. Step 5: Solve for x
    x = 28,762,490,782.99/221,524.61
  6. Step 6: Final answer
    x = 129,838.80

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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.