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Finding the Fourth Proportional to 120,092.28, 165,641.40 and 84,290.28

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Solution

The fourth proportional to 120,092.28, 165,641.40 and 84,290.28 is: 116,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,092.28 : 165,641.40 = 84,290.28 : x
  2. Step 2: Convert to fraction form
    120,092.28/165,641.40 = 84,290.28/x
  3. Step 3: Cross multiply
    120,092.28x = 165,641.40 × 84,290.28
  4. Step 4: Simplify right side
    120,092.28x = 13,961,959,985.59
  5. Step 5: Solve for x
    x = 13,961,959,985.59/120,092.28
  6. Step 6: Final answer
    x = 116,260.26

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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.