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Finding the Fourth Proportional to 120,363.47, 180,530.61 and 61,241.57

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Solution

The fourth proportional to 120,363.47, 180,530.61 and 61,241.57 is: 91,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,363.47 : 180,530.61 = 61,241.57 : x
  2. Step 2: Convert to fraction form
    120,363.47/180,530.61 = 61,241.57/x
  3. Step 3: Cross multiply
    120,363.47x = 180,530.61 × 61,241.57
  4. Step 4: Simplify right side
    120,363.47x = 11,055,977,989.46
  5. Step 5: Solve for x
    x = 11,055,977,989.46/120,363.47
  6. Step 6: Final answer
    x = 91,854.93

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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.