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Finding the Fourth Proportional to 90,042.30, 134,980.89 and 34,596.54

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Solution

The fourth proportional to 90,042.30, 134,980.89 and 34,596.54 is: 51,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,042.30 : 134,980.89 = 34,596.54 : x
  2. Step 2: Convert to fraction form
    90,042.30/134,980.89 = 34,596.54/x
  3. Step 3: Cross multiply
    90,042.30x = 134,980.89 × 34,596.54
  4. Step 4: Simplify right side
    90,042.30x = 4,669,871,760.12
  5. Step 5: Solve for x
    x = 4,669,871,760.12/90,042.30
  6. Step 6: Final answer
    x = 51,863.09

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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.