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Finding the Fourth Proportional to 70,800, 106,200 and 29,248.08

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Solution

The fourth proportional to 70,800, 106,200 and 29,248.08 is: 43,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,800 : 106,200 = 29,248.08 : x
  2. Step 2: Convert to fraction form
    70,800/106,200 = 29,248.08/x
  3. Step 3: Cross multiply
    70,800x = 106,200 × 29,248.08
  4. Step 4: Simplify right side
    70,800x = 3,106,146,096
  5. Step 5: Solve for x
    x = 3,106,146,096/70,800
  6. Step 6: Final answer
    x = 43,872.12

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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.