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Finding the Fourth Proportional to 215,266.53, 322,900.07 and 102,920.34

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Solution

The fourth proportional to 215,266.53, 322,900.07 and 102,920.34 is: 154,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,266.53 : 322,900.07 = 102,920.34 : x
  2. Step 2: Convert to fraction form
    215,266.53/322,900.07 = 102,920.34/x
  3. Step 3: Cross multiply
    215,266.53x = 322,900.07 × 102,920.34
  4. Step 4: Simplify right side
    215,266.53x = 33,232,984,475.82
  5. Step 5: Solve for x
    x = 33,232,984,475.82/215,266.53
  6. Step 6: Final answer
    x = 154,380.64

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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.