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Finding the Fourth Proportional to 47,978.48, 71,950.44 and 20,278.64

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Solution

The fourth proportional to 47,978.48, 71,950.44 and 20,278.64 is: 30,410.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,978.48 : 71,950.44 = 20,278.64 : x
  2. Step 2: Convert to fraction form
    47,978.48/71,950.44 = 20,278.64/x
  3. Step 3: Cross multiply
    47,978.48x = 71,950.44 × 20,278.64
  4. Step 4: Simplify right side
    47,978.48x = 1,459,057,070.60
  5. Step 5: Solve for x
    x = 1,459,057,070.60/47,978.48
  6. Step 6: Final answer
    x = 30,410.66

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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.