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Finding the Fourth Proportional to 215,153.10, 322,729.65 and 120,285.90

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Solution

The fourth proportional to 215,153.10, 322,729.65 and 120,285.90 is: 180,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,153.10 : 322,729.65 = 120,285.90 : x
  2. Step 2: Convert to fraction form
    215,153.10/322,729.65 = 120,285.90/x
  3. Step 3: Cross multiply
    215,153.10x = 322,729.65 × 120,285.90
  4. Step 4: Simplify right side
    215,153.10x = 38,819,826,406.94
  5. Step 5: Solve for x
    x = 38,819,826,406.94/215,153.10
  6. Step 6: Final answer
    x = 180,428.85

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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.