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Finding the Fourth Proportional to 215,157.60, 296,894.72 and 119,648.80

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Solution

The fourth proportional to 215,157.60, 296,894.72 and 119,648.80 is: 165,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,157.60 : 296,894.72 = 119,648.80 : x
  2. Step 2: Convert to fraction form
    215,157.60/296,894.72 = 119,648.80/x
  3. Step 3: Cross multiply
    215,157.60x = 296,894.72 × 119,648.80
  4. Step 4: Simplify right side
    215,157.60x = 35,523,096,974.34
  5. Step 5: Solve for x
    x = 35,523,096,974.34/215,157.60
  6. Step 6: Final answer
    x = 165,102.68

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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.