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Finding the Fourth Proportional to 155,101.42, 214,024.84 and 87,103

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Solution

The fourth proportional to 155,101.42, 214,024.84 and 87,103 is: 120,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,101.42 : 214,024.84 = 87,103 : x
  2. Step 2: Convert to fraction form
    155,101.42/214,024.84 = 87,103/x
  3. Step 3: Cross multiply
    155,101.42x = 214,024.84 × 87,103
  4. Step 4: Simplify right side
    155,101.42x = 18,642,205,638.52
  5. Step 5: Solve for x
    x = 18,642,205,638.52/155,101.42
  6. Step 6: Final answer
    x = 120,193.65

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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.