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Finding the Fourth Proportional to 83,851.42, 115,670.37 and 63,674.86

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Solution

The fourth proportional to 83,851.42, 115,670.37 and 63,674.86 is: 87,837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,851.42 : 115,670.37 = 63,674.86 : x
  2. Step 2: Convert to fraction form
    83,851.42/115,670.37 = 63,674.86/x
  3. Step 3: Cross multiply
    83,851.42x = 115,670.37 × 63,674.86
  4. Step 4: Simplify right side
    83,851.42x = 7,365,294,615.90
  5. Step 5: Solve for x
    x = 7,365,294,615.90/83,851.42
  6. Step 6: Final answer
    x = 87,837.45

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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.