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Finding the Fourth Proportional to 123,840.82, 170,952.65 and 83,609.08

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Solution

The fourth proportional to 123,840.82, 170,952.65 and 83,609.08 is: 115,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,840.82 : 170,952.65 = 83,609.08 : x
  2. Step 2: Convert to fraction form
    123,840.82/170,952.65 = 83,609.08/x
  3. Step 3: Cross multiply
    123,840.82x = 170,952.65 × 83,609.08
  4. Step 4: Simplify right side
    123,840.82x = 14,293,193,258.17
  5. Step 5: Solve for x
    x = 14,293,193,258.17/123,840.82
  6. Step 6: Final answer
    x = 115,415.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.