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Finding the Fourth Proportional to 71,662, 98,892.84 and 39,833.68

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Solution

The fourth proportional to 71,662, 98,892.84 and 39,833.68 is: 54,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,662 : 98,892.84 = 39,833.68 : x
  2. Step 2: Convert to fraction form
    71,662/98,892.84 = 39,833.68/x
  3. Step 3: Cross multiply
    71,662x = 98,892.84 × 39,833.68
  4. Step 4: Simplify right side
    71,662x = 3,939,265,742.85
  5. Step 5: Solve for x
    x = 3,939,265,742.85/71,662
  6. Step 6: Final answer
    x = 54,970.08

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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.