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Finding the Fourth Proportional to 134,357.92, 201,260.32 and 78,820

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Solution

The fourth proportional to 134,357.92, 201,260.32 and 78,820 is: 118,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,357.92 : 201,260.32 = 78,820 : x
  2. Step 2: Convert to fraction form
    134,357.92/201,260.32 = 78,820/x
  3. Step 3: Cross multiply
    134,357.92x = 201,260.32 × 78,820
  4. Step 4: Simplify right side
    134,357.92x = 15,863,338,422.40
  5. Step 5: Solve for x
    x = 15,863,338,422.40/134,357.92
  6. Step 6: Final answer
    x = 118,067.76

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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.