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Finding the Fourth Proportional to 98,586, 147,898.52 and 50,433.20

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Solution

The fourth proportional to 98,586, 147,898.52 and 50,433.20 is: 75,659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,586 : 147,898.52 = 50,433.20 : x
  2. Step 2: Convert to fraction form
    98,586/147,898.52 = 50,433.20/x
  3. Step 3: Cross multiply
    98,586x = 147,898.52 × 50,433.20
  4. Step 4: Simplify right side
    98,586x = 7,458,995,638.86
  5. Step 5: Solve for x
    x = 7,458,995,638.86/98,586
  6. Step 6: Final answer
    x = 75,659.79

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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.