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Finding the Fourth Proportional to 134,942.40, 202,316.40 and 75,796.20

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Solution

The fourth proportional to 134,942.40, 202,316.40 and 75,796.20 is: 113,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,942.40 : 202,316.40 = 75,796.20 : x
  2. Step 2: Convert to fraction form
    134,942.40/202,316.40 = 75,796.20/x
  3. Step 3: Cross multiply
    134,942.40x = 202,316.40 × 75,796.20
  4. Step 4: Simplify right side
    134,942.40x = 15,334,814,317.68
  5. Step 5: Solve for x
    x = 15,334,814,317.68/134,942.40
  6. Step 6: Final answer
    x = 113,639.70

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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.