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Finding the Fourth Proportional to 79,142.94, 118,713.42 and 31,779

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Solution

The fourth proportional to 79,142.94, 118,713.42 and 31,779 is: 47,668.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,142.94 : 118,713.42 = 31,779 : x
  2. Step 2: Convert to fraction form
    79,142.94/118,713.42 = 31,779/x
  3. Step 3: Cross multiply
    79,142.94x = 118,713.42 × 31,779
  4. Step 4: Simplify right side
    79,142.94x = 3,772,593,774.18
  5. Step 5: Solve for x
    x = 3,772,593,774.18/79,142.94
  6. Step 6: Final answer
    x = 47,668.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.