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Finding the Fourth Proportional to 78,710.77, 108,636.37 and 54,823.60

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Solution

The fourth proportional to 78,710.77, 108,636.37 and 54,823.60 is: 75,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,710.77 : 108,636.37 = 54,823.60 : x
  2. Step 2: Convert to fraction form
    78,710.77/108,636.37 = 54,823.60/x
  3. Step 3: Cross multiply
    78,710.77x = 108,636.37 × 54,823.60
  4. Step 4: Simplify right side
    78,710.77x = 5,955,836,893.07
  5. Step 5: Solve for x
    x = 5,955,836,893.07/78,710.77
  6. Step 6: Final answer
    x = 75,667.37

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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.