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Finding the Fourth Proportional to 120,172.38, 180,283.95 and 45,290.94

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Solution

The fourth proportional to 120,172.38, 180,283.95 and 45,290.94 is: 67,945.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,172.38 : 180,283.95 = 45,290.94 : x
  2. Step 2: Convert to fraction form
    120,172.38/180,283.95 = 45,290.94/x
  3. Step 3: Cross multiply
    120,172.38x = 180,283.95 × 45,290.94
  4. Step 4: Simplify right side
    120,172.38x = 8,165,229,562.41
  5. Step 5: Solve for x
    x = 8,165,229,562.41/120,172.38
  6. Step 6: Final answer
    x = 67,945.98

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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.