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Finding the Fourth Proportional to 120,530.84, 180,805.44 and 40,569.14

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Solution

The fourth proportional to 120,530.84, 180,805.44 and 40,569.14 is: 60,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,530.84 : 180,805.44 = 40,569.14 : x
  2. Step 2: Convert to fraction form
    120,530.84/180,805.44 = 40,569.14/x
  3. Step 3: Cross multiply
    120,530.84x = 180,805.44 × 40,569.14
  4. Step 4: Simplify right side
    120,530.84x = 7,335,121,208.12
  5. Step 5: Solve for x
    x = 7,335,121,208.12/120,530.84
  6. Step 6: Final answer
    x = 60,856.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.