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Finding the Fourth Proportional to 120,773.16, 180,345.96 and 98,629.38

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Solution

The fourth proportional to 120,773.16, 180,345.96 and 98,629.38 is: 147,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,773.16 : 180,345.96 = 98,629.38 : x
  2. Step 2: Convert to fraction form
    120,773.16/180,345.96 = 98,629.38/x
  3. Step 3: Cross multiply
    120,773.16x = 180,345.96 × 98,629.38
  4. Step 4: Simplify right side
    120,773.16x = 17,787,410,220.30
  5. Step 5: Solve for x
    x = 17,787,410,220.30/120,773.16
  6. Step 6: Final answer
    x = 147,279.50

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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.