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Finding the Fourth Proportional to 212,754.75, 319,159.79 and 77,797.80

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Solution

The fourth proportional to 212,754.75, 319,159.79 and 77,797.80 is: 116,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,754.75 : 319,159.79 = 77,797.80 : x
  2. Step 2: Convert to fraction form
    212,754.75/319,159.79 = 77,797.80/x
  3. Step 3: Cross multiply
    212,754.75x = 319,159.79 × 77,797.80
  4. Step 4: Simplify right side
    212,754.75x = 24,829,929,121.47
  5. Step 5: Solve for x
    x = 24,829,929,121.47/212,754.75
  6. Step 6: Final answer
    x = 116,706.82

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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.