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Finding the Fourth Proportional to 135,807, 187,410.16 and 75,375.88

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Solution

The fourth proportional to 135,807, 187,410.16 and 75,375.88 is: 104,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,807 : 187,410.16 = 75,375.88 : x
  2. Step 2: Convert to fraction form
    135,807/187,410.16 = 75,375.88/x
  3. Step 3: Cross multiply
    135,807x = 187,410.16 × 75,375.88
  4. Step 4: Simplify right side
    135,807x = 14,126,205,730.94
  5. Step 5: Solve for x
    x = 14,126,205,730.94/135,807
  6. Step 6: Final answer
    x = 104,016.77

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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.