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Finding the Fourth Proportional to 214,135.80, 320,814.90 and 130,932.60

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Solution

The fourth proportional to 214,135.80, 320,814.90 and 130,932.60 is: 196,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,135.80 : 320,814.90 = 130,932.60 : x
  2. Step 2: Convert to fraction form
    214,135.80/320,814.90 = 130,932.60/x
  3. Step 3: Cross multiply
    214,135.80x = 320,814.90 × 130,932.60
  4. Step 4: Simplify right side
    214,135.80x = 42,005,128,975.74
  5. Step 5: Solve for x
    x = 42,005,128,975.74/214,135.80
  6. Step 6: Final answer
    x = 196,161.17

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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.