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Finding the Fourth Proportional to 212,471.02, 318,739.20 and 72,196.84

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Solution

The fourth proportional to 212,471.02, 318,739.20 and 72,196.84 is: 108,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,471.02 : 318,739.20 = 72,196.84 : x
  2. Step 2: Convert to fraction form
    212,471.02/318,739.20 = 72,196.84/x
  3. Step 3: Cross multiply
    212,471.02x = 318,739.20 × 72,196.84
  4. Step 4: Simplify right side
    212,471.02x = 23,011,963,024.13
  5. Step 5: Solve for x
    x = 23,011,963,024.13/212,471.02
  6. Step 6: Final answer
    x = 108,306.36

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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.