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Finding the Fourth Proportional to 212,101.62, 318,135.87 and 123,298.49

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Solution

The fourth proportional to 212,101.62, 318,135.87 and 123,298.49 is: 184,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,101.62 : 318,135.87 = 123,298.49 : x
  2. Step 2: Convert to fraction form
    212,101.62/318,135.87 = 123,298.49/x
  3. Step 3: Cross multiply
    212,101.62x = 318,135.87 × 123,298.49
  4. Step 4: Simplify right side
    212,101.62x = 39,225,670,795.16
  5. Step 5: Solve for x
    x = 39,225,670,795.16/212,101.62
  6. Step 6: Final answer
    x = 184,938.10

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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.