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Finding the Fourth Proportional to 120,294.93, 165,893.43 and 89,735.49

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Solution

The fourth proportional to 120,294.93, 165,893.43 and 89,735.49 is: 123,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,294.93 : 165,893.43 = 89,735.49 : x
  2. Step 2: Convert to fraction form
    120,294.93/165,893.43 = 89,735.49/x
  3. Step 3: Cross multiply
    120,294.93x = 165,893.43 × 89,735.49
  4. Step 4: Simplify right side
    120,294.93x = 14,886,528,228.83
  5. Step 5: Solve for x
    x = 14,886,528,228.83/120,294.93
  6. Step 6: Final answer
    x = 123,750.25

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1.5x scale

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.