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Finding the Fourth Proportional to 213,534.45, 320,137.65 and 120,040.20

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Solution

The fourth proportional to 213,534.45, 320,137.65 and 120,040.20 is: 179,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,534.45 : 320,137.65 = 120,040.20 : x
  2. Step 2: Convert to fraction form
    213,534.45/320,137.65 = 120,040.20/x
  3. Step 3: Cross multiply
    213,534.45x = 320,137.65 × 120,040.20
  4. Step 4: Simplify right side
    213,534.45x = 38,429,387,533.53
  5. Step 5: Solve for x
    x = 38,429,387,533.53/213,534.45
  6. Step 6: Final answer
    x = 179,968.09

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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.