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Finding the Fourth Proportional to 214,058.76, 295,321.78 and 138,648.84

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Solution

The fourth proportional to 214,058.76, 295,321.78 and 138,648.84 is: 191,284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,058.76 : 295,321.78 = 138,648.84 : x
  2. Step 2: Convert to fraction form
    214,058.76/295,321.78 = 138,648.84/x
  3. Step 3: Cross multiply
    214,058.76x = 295,321.78 × 138,648.84
  4. Step 4: Simplify right side
    214,058.76x = 40,946,022,223.74
  5. Step 5: Solve for x
    x = 40,946,022,223.74/214,058.76
  6. Step 6: Final answer
    x = 191,284.03

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1.5x scale

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.