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Finding the Fourth Proportional to 86,102.34, 118,818.92 and 47,860.94

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Solution

The fourth proportional to 86,102.34, 118,818.92 and 47,860.94 is: 66,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,102.34 : 118,818.92 = 47,860.94 : x
  2. Step 2: Convert to fraction form
    86,102.34/118,818.92 = 47,860.94/x
  3. Step 3: Cross multiply
    86,102.34x = 118,818.92 × 47,860.94
  4. Step 4: Simplify right side
    86,102.34x = 5,686,784,367.59
  5. Step 5: Solve for x
    x = 5,686,784,367.59/86,102.34
  6. Step 6: Final answer
    x = 66,046.80

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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.