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Finding the Fourth Proportional to 145,992, 201,469.44 and 78,924.48

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Solution

The fourth proportional to 145,992, 201,469.44 and 78,924.48 is: 108,916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,992 : 201,469.44 = 78,924.48 : x
  2. Step 2: Convert to fraction form
    145,992/201,469.44 = 78,924.48/x
  3. Step 3: Cross multiply
    145,992x = 201,469.44 × 78,924.48
  4. Step 4: Simplify right side
    145,992x = 15,900,870,787.89
  5. Step 5: Solve for x
    x = 15,900,870,787.89/145,992
  6. Step 6: Final answer
    x = 108,916.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.