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Finding the Fourth Proportional to 47,978.78, 66,222.58 and 32,690.60

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Solution

The fourth proportional to 47,978.78, 66,222.58 and 32,690.60 is: 45,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,978.78 : 66,222.58 = 32,690.60 : x
  2. Step 2: Convert to fraction form
    47,978.78/66,222.58 = 32,690.60/x
  3. Step 3: Cross multiply
    47,978.78x = 66,222.58 × 32,690.60
  4. Step 4: Simplify right side
    47,978.78x = 2,164,855,873.75
  5. Step 5: Solve for x
    x = 2,164,855,873.75/47,978.78
  6. Step 6: Final answer
    x = 45,121.11

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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.