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Finding the Fourth Proportional to 155,296.98, 214,321.41 and 87,321.78

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Solution

The fourth proportional to 155,296.98, 214,321.41 and 87,321.78 is: 120,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,296.98 : 214,321.41 = 87,321.78 : x
  2. Step 2: Convert to fraction form
    155,296.98/214,321.41 = 87,321.78/x
  3. Step 3: Cross multiply
    155,296.98x = 214,321.41 × 87,321.78
  4. Step 4: Simplify right side
    155,296.98x = 18,714,927,013.31
  5. Step 5: Solve for x
    x = 18,714,927,013.31/155,296.98
  6. Step 6: Final answer
    x = 120,510.57

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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.