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Finding the Fourth Proportional to 78,822.30, 118,187.94 and 53,892.54

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Solution

The fourth proportional to 78,822.30, 118,187.94 and 53,892.54 is: 80,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,822.30 : 118,187.94 = 53,892.54 : x
  2. Step 2: Convert to fraction form
    78,822.30/118,187.94 = 53,892.54/x
  3. Step 3: Cross multiply
    78,822.30x = 118,187.94 × 53,892.54
  4. Step 4: Simplify right side
    78,822.30x = 6,369,448,283.97
  5. Step 5: Solve for x
    x = 6,369,448,283.97/78,822.30
  6. Step 6: Final answer
    x = 80,807.69

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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.