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Finding the Fourth Proportional to 135,978.10, 187,498.50 and 92,964.60

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Solution

The fourth proportional to 135,978.10, 187,498.50 and 92,964.60 is: 128,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,978.10 : 187,498.50 = 92,964.60 : x
  2. Step 2: Convert to fraction form
    135,978.10/187,498.50 = 92,964.60/x
  3. Step 3: Cross multiply
    135,978.10x = 187,498.50 × 92,964.60
  4. Step 4: Simplify right side
    135,978.10x = 17,430,722,704.48
  5. Step 5: Solve for x
    x = 17,430,722,704.48/135,978.10
  6. Step 6: Final answer
    x = 128,187.72

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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.