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Finding the Fourth Proportional to 136,511.63, 204,859.63 and 47,765.90

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Solution

The fourth proportional to 136,511.63, 204,859.63 and 47,765.90 is: 71,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,511.63 : 204,859.63 = 47,765.90 : x
  2. Step 2: Convert to fraction form
    136,511.63/204,859.63 = 47,765.90/x
  3. Step 3: Cross multiply
    136,511.63x = 204,859.63 × 47,765.90
  4. Step 4: Simplify right side
    136,511.63x = 9,785,305,172.47
  5. Step 5: Solve for x
    x = 9,785,305,172.47/136,511.63
  6. Step 6: Final answer
    x = 71,681.11

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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.