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Finding the Fourth Proportional to 71,464.85, 98,627.55 and 39,644

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Solution

The fourth proportional to 71,464.85, 98,627.55 and 39,644 is: 54,712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,464.85 : 98,627.55 = 39,644 : x
  2. Step 2: Convert to fraction form
    71,464.85/98,627.55 = 39,644/x
  3. Step 3: Cross multiply
    71,464.85x = 98,627.55 × 39,644
  4. Step 4: Simplify right side
    71,464.85x = 3,909,990,592.20
  5. Step 5: Solve for x
    x = 3,909,990,592.20/71,464.85
  6. Step 6: Final answer
    x = 54,712.08

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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.