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Finding the Fourth Proportional to 136,488.64, 204,684 and 52,272.48

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Solution

The fourth proportional to 136,488.64, 204,684 and 52,272.48 is: 78,389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,488.64 : 204,684 = 52,272.48 : x
  2. Step 2: Convert to fraction form
    136,488.64/204,684 = 52,272.48/x
  3. Step 3: Cross multiply
    136,488.64x = 204,684 × 52,272.48
  4. Step 4: Simplify right side
    136,488.64x = 10,699,340,296.32
  5. Step 5: Solve for x
    x = 10,699,340,296.32/136,488.64
  6. Step 6: Final answer
    x = 78,389.97

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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.