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Finding the Fourth Proportional to 47,978.15, 71,873.69 and 29,211.66

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Solution

The fourth proportional to 47,978.15, 71,873.69 and 29,211.66 is: 43,760.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,978.15 : 71,873.69 = 29,211.66 : x
  2. Step 2: Convert to fraction form
    47,978.15/71,873.69 = 29,211.66/x
  3. Step 3: Cross multiply
    47,978.15x = 71,873.69 × 29,211.66
  4. Step 4: Simplify right side
    47,978.15x = 2,099,549,649.17
  5. Step 5: Solve for x
    x = 2,099,549,649.17/47,978.15
  6. Step 6: Final answer
    x = 43,760.54

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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.