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Finding the Fourth Proportional to 134,427.60, 201,641.40 and 75,378.60

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Solution

The fourth proportional to 134,427.60, 201,641.40 and 75,378.60 is: 113,067.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,427.60 : 201,641.40 = 75,378.60 : x
  2. Step 2: Convert to fraction form
    134,427.60/201,641.40 = 75,378.60/x
  3. Step 3: Cross multiply
    134,427.60x = 201,641.40 × 75,378.60
  4. Step 4: Simplify right side
    134,427.60x = 15,199,446,434.04
  5. Step 5: Solve for x
    x = 15,199,446,434.04/134,427.60
  6. Step 6: Final answer
    x = 113,067.90

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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.