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Finding the Fourth Proportional to 120,530.88, 180,878.00 and 49,466.34

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Solution

The fourth proportional to 120,530.88, 180,878.00 and 49,466.34 is: 74,233.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,530.88 : 180,878.00 = 49,466.34 : x
  2. Step 2: Convert to fraction form
    120,530.88/180,878.00 = 49,466.34/x
  3. Step 3: Cross multiply
    120,530.88x = 180,878.00 × 49,466.34
  4. Step 4: Simplify right side
    120,530.88x = 8,947,372,399.19
  5. Step 5: Solve for x
    x = 8,947,372,399.19/120,530.88
  6. Step 6: Final answer
    x = 74,233.03

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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.