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Finding the Fourth Proportional to 101,784.78, 140,447.70 and 58,174.20

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Solution

The fourth proportional to 101,784.78, 140,447.70 and 58,174.20 is: 80,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,784.78 : 140,447.70 = 58,174.20 : x
  2. Step 2: Convert to fraction form
    101,784.78/140,447.70 = 58,174.20/x
  3. Step 3: Cross multiply
    101,784.78x = 140,447.70 × 58,174.20
  4. Step 4: Simplify right side
    101,784.78x = 8,170,432,589.34
  5. Step 5: Solve for x
    x = 8,170,432,589.34/101,784.78
  6. Step 6: Final answer
    x = 80,271.65

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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.