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Finding the Fourth Proportional to 71,705.46, 98,949.45 and 39,873.68

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Solution

The fourth proportional to 71,705.46, 98,949.45 and 39,873.68 is: 55,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,705.46 : 98,949.45 = 39,873.68 : x
  2. Step 2: Convert to fraction form
    71,705.46/98,949.45 = 39,873.68/x
  3. Step 3: Cross multiply
    71,705.46x = 98,949.45 × 39,873.68
  4. Step 4: Simplify right side
    71,705.46x = 3,945,478,210.73
  5. Step 5: Solve for x
    x = 3,945,478,210.73/71,705.46
  6. Step 6: Final answer
    x = 55,023.40

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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.