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Finding the Fourth Proportional to 98,139.72, 147,236.70 and 34,974.30

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Solution

The fourth proportional to 98,139.72, 147,236.70 and 34,974.30 is: 52,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,139.72 : 147,236.70 = 34,974.30 : x
  2. Step 2: Convert to fraction form
    98,139.72/147,236.70 = 34,974.30/x
  3. Step 3: Cross multiply
    98,139.72x = 147,236.70 × 34,974.30
  4. Step 4: Simplify right side
    98,139.72x = 5,149,500,516.81
  5. Step 5: Solve for x
    x = 5,149,500,516.81/98,139.72
  6. Step 6: Final answer
    x = 52,471.11

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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.