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Finding the Fourth Proportional to 120,295.94, 165,894.80 and 89,736.48

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Solution

The fourth proportional to 120,295.94, 165,894.80 and 89,736.48 is: 123,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,295.94 : 165,894.80 = 89,736.48 : x
  2. Step 2: Convert to fraction form
    120,295.94/165,894.80 = 89,736.48/x
  3. Step 3: Cross multiply
    120,295.94x = 165,894.80 × 89,736.48
  4. Step 4: Simplify right side
    120,295.94x = 14,886,815,402.30
  5. Step 5: Solve for x
    x = 14,886,815,402.30/120,295.94
  6. Step 6: Final answer
    x = 123,751.60

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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.