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Finding the Fourth Proportional to 212,700.20, 319,028.70 and 72,456.80

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Solution

The fourth proportional to 212,700.20, 319,028.70 and 72,456.80 is: 108,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,700.20 : 319,028.70 = 72,456.80 : x
  2. Step 2: Convert to fraction form
    212,700.20/319,028.70 = 72,456.80/x
  3. Step 3: Cross multiply
    212,700.20x = 319,028.70 × 72,456.80
  4. Step 4: Simplify right side
    212,700.20x = 23,115,798,710.16
  5. Step 5: Solve for x
    x = 23,115,798,710.16/212,700.20
  6. Step 6: Final answer
    x = 108,677.84

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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.