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Finding the Fourth Proportional to 78,141.69, 117,056.19 and 35,963.97

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Solution

The fourth proportional to 78,141.69, 117,056.19 and 35,963.97 is: 53,874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,141.69 : 117,056.19 = 35,963.97 : x
  2. Step 2: Convert to fraction form
    78,141.69/117,056.19 = 35,963.97/x
  3. Step 3: Cross multiply
    78,141.69x = 117,056.19 × 35,963.97
  4. Step 4: Simplify right side
    78,141.69x = 4,209,805,305.47
  5. Step 5: Solve for x
    x = 4,209,805,305.47/78,141.69
  6. Step 6: Final answer
    x = 53,874.00

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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.