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Finding the Fourth Proportional to 70,853, 97,777.14 and 39,021.84

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Solution

The fourth proportional to 70,853, 97,777.14 and 39,021.84 is: 53,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,853 : 97,777.14 = 39,021.84 : x
  2. Step 2: Convert to fraction form
    70,853/97,777.14 = 39,021.84/x
  3. Step 3: Cross multiply
    70,853x = 97,777.14 × 39,021.84
  4. Step 4: Simplify right side
    70,853x = 3,815,443,912.74
  5. Step 5: Solve for x
    x = 3,815,443,912.74/70,853
  6. Step 6: Final answer
    x = 53,850.14

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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.