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Finding the Fourth Proportional to 113,903.78, 170,856.30 and 74,709.14

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Solution

The fourth proportional to 113,903.78, 170,856.30 and 74,709.14 is: 112,064.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,903.78 : 170,856.30 = 74,709.14 : x
  2. Step 2: Convert to fraction form
    113,903.78/170,856.30 = 74,709.14/x
  3. Step 3: Cross multiply
    113,903.78x = 170,856.30 × 74,709.14
  4. Step 4: Simplify right side
    113,903.78x = 12,764,527,236.58
  5. Step 5: Solve for x
    x = 12,764,527,236.58/113,903.78
  6. Step 6: Final answer
    x = 112,064.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.