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Finding the Fourth Proportional to 135,461.62, 186,947.56 and 75,037.88

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Solution

The fourth proportional to 135,461.62, 186,947.56 and 75,037.88 is: 103,558.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,461.62 : 186,947.56 = 75,037.88 : x
  2. Step 2: Convert to fraction form
    135,461.62/186,947.56 = 75,037.88/x
  3. Step 3: Cross multiply
    135,461.62x = 186,947.56 × 75,037.88
  4. Step 4: Simplify right side
    135,461.62x = 14,028,148,573.57
  5. Step 5: Solve for x
    x = 14,028,148,573.57/135,461.62
  6. Step 6: Final answer
    x = 103,558.10

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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.