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Finding the Fourth Proportional to 131,873.10, 197,809.02 and 47,633.20

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Solution

The fourth proportional to 131,873.10, 197,809.02 and 47,633.20 is: 71,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,873.10 : 197,809.02 = 47,633.20 : x
  2. Step 2: Convert to fraction form
    131,873.10/197,809.02 = 47,633.20/x
  3. Step 3: Cross multiply
    131,873.10x = 197,809.02 × 47,633.20
  4. Step 4: Simplify right side
    131,873.10x = 9,422,276,116.94
  5. Step 5: Solve for x
    x = 9,422,276,116.94/131,873.10
  6. Step 6: Final answer
    x = 71,449.57

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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.