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Finding the Fourth Proportional to 84,758.40, 117,004.50 and 55,685.88

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Solution

The fourth proportional to 84,758.40, 117,004.50 and 55,685.88 is: 76,871.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,758.40 : 117,004.50 = 55,685.88 : x
  2. Step 2: Convert to fraction form
    84,758.40/117,004.50 = 55,685.88/x
  3. Step 3: Cross multiply
    84,758.40x = 117,004.50 × 55,685.88
  4. Step 4: Simplify right side
    84,758.40x = 6,515,498,546.46
  5. Step 5: Solve for x
    x = 6,515,498,546.46/84,758.40
  6. Step 6: Final answer
    x = 76,871.42

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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.