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Finding the Fourth Proportional to 71,670.66, 98,906.69 and 39,406.64

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Solution

The fourth proportional to 71,670.66, 98,906.69 and 39,406.64 is: 54,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,670.66 : 98,906.69 = 39,406.64 : x
  2. Step 2: Convert to fraction form
    71,670.66/98,906.69 = 39,406.64/x
  3. Step 3: Cross multiply
    71,670.66x = 98,906.69 × 39,406.64
  4. Step 4: Simplify right side
    71,670.66x = 3,897,580,326.42
  5. Step 5: Solve for x
    x = 3,897,580,326.42/71,670.66
  6. Step 6: Final answer
    x = 54,381.81

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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.