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Finding the Fourth Proportional to 212,974.63, 319,428.06 and 70,808.11

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Solution

The fourth proportional to 212,974.63, 319,428.06 and 70,808.11 is: 106,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,974.63 : 319,428.06 = 70,808.11 : x
  2. Step 2: Convert to fraction form
    212,974.63/319,428.06 = 70,808.11/x
  3. Step 3: Cross multiply
    212,974.63x = 319,428.06 × 70,808.11
  4. Step 4: Simplify right side
    212,974.63x = 22,618,097,209.57
  5. Step 5: Solve for x
    x = 22,618,097,209.57/212,974.63
  6. Step 6: Final answer
    x = 106,200.90

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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.