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Finding the Fourth Proportional to 136,340.40, 204,496.20 and 42,841.20

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Solution

The fourth proportional to 136,340.40, 204,496.20 and 42,841.20 is: 64,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,340.40 : 204,496.20 = 42,841.20 : x
  2. Step 2: Convert to fraction form
    136,340.40/204,496.20 = 42,841.20/x
  3. Step 3: Cross multiply
    136,340.40x = 204,496.20 × 42,841.20
  4. Step 4: Simplify right side
    136,340.40x = 8,760,862,603.44
  5. Step 5: Solve for x
    x = 8,760,862,603.44/136,340.40
  6. Step 6: Final answer
    x = 64,257.28

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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.