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Finding the Fourth Proportional to 212,858.60, 319,172.70 and 88,212.20

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Solution

The fourth proportional to 212,858.60, 319,172.70 and 88,212.20 is: 132,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,858.60 : 319,172.70 = 88,212.20 : x
  2. Step 2: Convert to fraction form
    212,858.60/319,172.70 = 88,212.20/x
  3. Step 3: Cross multiply
    212,858.60x = 319,172.70 × 88,212.20
  4. Step 4: Simplify right side
    212,858.60x = 28,154,926,046.94
  5. Step 5: Solve for x
    x = 28,154,926,046.94/212,858.60
  6. Step 6: Final answer
    x = 132,270.56

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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.