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Finding the Fourth Proportional to 272,075.62, 408,112.88 and 72,396

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Solution

The fourth proportional to 272,075.62, 408,112.88 and 72,396 is: 108,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,075.62 : 408,112.88 = 72,396 : x
  2. Step 2: Convert to fraction form
    272,075.62/408,112.88 = 72,396/x
  3. Step 3: Cross multiply
    272,075.62x = 408,112.88 × 72,396
  4. Step 4: Simplify right side
    272,075.62x = 29,545,740,060.48
  5. Step 5: Solve for x
    x = 29,545,740,060.48/272,075.62
  6. Step 6: Final answer
    x = 108,593.85

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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.