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Finding the Fourth Proportional to 120,796.38, 180,381.06 and 98,653.68

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Solution

The fourth proportional to 120,796.38, 180,381.06 and 98,653.68 is: 147,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,796.38 : 180,381.06 = 98,653.68 : x
  2. Step 2: Convert to fraction form
    120,796.38/180,381.06 = 98,653.68/x
  3. Step 3: Cross multiply
    120,796.38x = 180,381.06 × 98,653.68
  4. Step 4: Simplify right side
    120,796.38x = 17,795,255,371.30
  5. Step 5: Solve for x
    x = 17,795,255,371.30/120,796.38
  6. Step 6: Final answer
    x = 147,316.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.