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Finding the Fourth Proportional to 155,698.64, 214,819.65 and 87,691.80

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Solution

The fourth proportional to 155,698.64, 214,819.65 and 87,691.80 is: 120,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,698.64 : 214,819.65 = 87,691.80 : x
  2. Step 2: Convert to fraction form
    155,698.64/214,819.65 = 87,691.80/x
  3. Step 3: Cross multiply
    155,698.64x = 214,819.65 × 87,691.80
  4. Step 4: Simplify right side
    155,698.64x = 18,837,921,783.87
  5. Step 5: Solve for x
    x = 18,837,921,783.87/155,698.64
  6. Step 6: Final answer
    x = 120,989.64

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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.