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Finding the Fourth Proportional to 120,340.60, 180,461.22 and 45,448

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Solution

The fourth proportional to 120,340.60, 180,461.22 and 45,448 is: 68,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,340.60 : 180,461.22 = 45,448 : x
  2. Step 2: Convert to fraction form
    120,340.60/180,461.22 = 45,448/x
  3. Step 3: Cross multiply
    120,340.60x = 180,461.22 × 45,448
  4. Step 4: Simplify right side
    120,340.60x = 8,201,601,526.56
  5. Step 5: Solve for x
    x = 8,201,601,526.56/120,340.60
  6. Step 6: Final answer
    x = 68,153.24

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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.