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Finding the Fourth Proportional to 155,410.80, 214,464.60 and 87,422.64

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Solution

The fourth proportional to 155,410.80, 214,464.60 and 87,422.64 is: 120,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,410.80 : 214,464.60 = 87,422.64 : x
  2. Step 2: Convert to fraction form
    155,410.80/214,464.60 = 87,422.64/x
  3. Step 3: Cross multiply
    155,410.80x = 214,464.60 × 87,422.64
  4. Step 4: Simplify right side
    155,410.80x = 18,749,061,518.54
  5. Step 5: Solve for x
    x = 18,749,061,518.54/155,410.80
  6. Step 6: Final answer
    x = 120,641.95

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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.