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Finding the Fourth Proportional to 131,309.53, 196,648.58 and 74,978.96

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Solution

The fourth proportional to 131,309.53, 196,648.58 and 74,978.96 is: 112,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,309.53 : 196,648.58 = 74,978.96 : x
  2. Step 2: Convert to fraction form
    131,309.53/196,648.58 = 74,978.96/x
  3. Step 3: Cross multiply
    131,309.53x = 196,648.58 × 74,978.96
  4. Step 4: Simplify right side
    131,309.53x = 14,744,505,218.08
  5. Step 5: Solve for x
    x = 14,744,505,218.08/131,309.53
  6. Step 6: Final answer
    x = 112,288.16

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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.