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Finding the Fourth Proportional to 120,293.93, 165,892.05 and 89,734.49

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Solution

The fourth proportional to 120,293.93, 165,892.05 and 89,734.49 is: 123,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,293.93 : 165,892.05 = 89,734.49 : x
  2. Step 2: Convert to fraction form
    120,293.93/165,892.05 = 89,734.49/x
  3. Step 3: Cross multiply
    120,293.93x = 165,892.05 × 89,734.49
  4. Step 4: Simplify right side
    120,293.93x = 14,886,238,501.80
  5. Step 5: Solve for x
    x = 14,886,238,501.80/120,293.93
  6. Step 6: Final answer
    x = 123,748.87

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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.