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Finding the Fourth Proportional to 214,486.32, 321,783.48 and 125,814

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Solution

The fourth proportional to 214,486.32, 321,783.48 and 125,814 is: 188,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,486.32 : 321,783.48 = 125,814 : x
  2. Step 2: Convert to fraction form
    214,486.32/321,783.48 = 125,814/x
  3. Step 3: Cross multiply
    214,486.32x = 321,783.48 × 125,814
  4. Step 4: Simplify right side
    214,486.32x = 40,484,866,752.72
  5. Step 5: Solve for x
    x = 40,484,866,752.72/214,486.32
  6. Step 6: Final answer
    x = 188,752.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.