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Finding the Fourth Proportional to 212,851, 319,276.62 and 65,107

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Solution

The fourth proportional to 212,851, 319,276.62 and 65,107 is: 97,660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,851 : 319,276.62 = 65,107 : x
  2. Step 2: Convert to fraction form
    212,851/319,276.62 = 65,107/x
  3. Step 3: Cross multiply
    212,851x = 319,276.62 × 65,107
  4. Step 4: Simplify right side
    212,851x = 20,787,142,898.34
  5. Step 5: Solve for x
    x = 20,787,142,898.34/212,851
  6. Step 6: Final answer
    x = 97,660.54

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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.