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Finding the Fourth Proportional to 136,671.63, 205,016.09 and 57,775.47

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Solution

The fourth proportional to 136,671.63, 205,016.09 and 57,775.47 is: 86,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,671.63 : 205,016.09 = 57,775.47 : x
  2. Step 2: Convert to fraction form
    136,671.63/205,016.09 = 57,775.47/x
  3. Step 3: Cross multiply
    136,671.63x = 205,016.09 × 57,775.47
  4. Step 4: Simplify right side
    136,671.63x = 11,844,900,668.44
  5. Step 5: Solve for x
    x = 11,844,900,668.44/136,671.63
  6. Step 6: Final answer
    x = 86,666.86

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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.