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Finding the Fourth Proportional to 120,352.79, 180,462.67 and 82,445.47

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Solution

The fourth proportional to 120,352.79, 180,462.67 and 82,445.47 is: 123,622.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,352.79 : 180,462.67 = 82,445.47 : x
  2. Step 2: Convert to fraction form
    120,352.79/180,462.67 = 82,445.47/x
  3. Step 3: Cross multiply
    120,352.79x = 180,462.67 × 82,445.47
  4. Step 4: Simplify right side
    120,352.79x = 14,878,328,988.33
  5. Step 5: Solve for x
    x = 14,878,328,988.33/120,352.79
  6. Step 6: Final answer
    x = 123,622.63

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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.