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Finding the Fourth Proportional to 165,745.14, 248,691.47 and 86,840.91

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Solution

The fourth proportional to 165,745.14, 248,691.47 and 86,840.91 is: 130,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,745.14 : 248,691.47 = 86,840.91 : x
  2. Step 2: Convert to fraction form
    165,745.14/248,691.47 = 86,840.91/x
  3. Step 3: Cross multiply
    165,745.14x = 248,691.47 × 86,840.91
  4. Step 4: Simplify right side
    165,745.14x = 21,596,593,129.83
  5. Step 5: Solve for x
    x = 21,596,593,129.83/165,745.14
  6. Step 6: Final answer
    x = 130,300.01

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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.