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Finding the Fourth Proportional to 47,774.03, 71,662.68 and 21,478.86

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Solution

The fourth proportional to 47,774.03, 71,662.68 and 21,478.86 is: 32,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,774.03 : 71,662.68 = 21,478.86 : x
  2. Step 2: Convert to fraction form
    47,774.03/71,662.68 = 21,478.86/x
  3. Step 3: Cross multiply
    47,774.03x = 71,662.68 × 21,478.86
  4. Step 4: Simplify right side
    47,774.03x = 1,539,232,670.94
  5. Step 5: Solve for x
    x = 1,539,232,670.94/47,774.03
  6. Step 6: Final answer
    x = 32,219.03

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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.