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Finding the Fourth Proportional to 212,098.05, 318,130.54 and 123,294.92

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Solution

The fourth proportional to 212,098.05, 318,130.54 and 123,294.92 is: 184,932.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,098.05 : 318,130.54 = 123,294.92 : x
  2. Step 2: Convert to fraction form
    212,098.05/318,130.54 = 123,294.92/x
  3. Step 3: Cross multiply
    212,098.05x = 318,130.54 × 123,294.92
  4. Step 4: Simplify right side
    212,098.05x = 39,223,877,579.97
  5. Step 5: Solve for x
    x = 39,223,877,579.97/212,098.05
  6. Step 6: Final answer
    x = 184,932.76

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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.