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Finding the Fourth Proportional to 215,751.21, 297,737.00 and 120,255.86

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Solution

The fourth proportional to 215,751.21, 297,737.00 and 120,255.86 is: 165,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,751.21 : 297,737.00 = 120,255.86 : x
  2. Step 2: Convert to fraction form
    215,751.21/297,737.00 = 120,255.86/x
  3. Step 3: Cross multiply
    215,751.21x = 297,737.00 × 120,255.86
  4. Step 4: Simplify right side
    215,751.21x = 35,804,616,898.86
  5. Step 5: Solve for x
    x = 35,804,616,898.86/215,751.21
  6. Step 6: Final answer
    x = 165,953.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.