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Finding the Fourth Proportional to 135,027.76, 186,338.30 and 75,411.76

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Solution

The fourth proportional to 135,027.76, 186,338.30 and 75,411.76 is: 104,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,027.76 : 186,338.30 = 75,411.76 : x
  2. Step 2: Convert to fraction form
    135,027.76/186,338.30 = 75,411.76/x
  3. Step 3: Cross multiply
    135,027.76x = 186,338.30 × 75,411.76
  4. Step 4: Simplify right side
    135,027.76x = 14,052,099,158.41
  5. Step 5: Solve for x
    x = 14,052,099,158.41/135,027.76
  6. Step 6: Final answer
    x = 104,068.22

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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.