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Finding the Fourth Proportional to 213,963.15, 320,764.10 and 134,903.10

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Solution

The fourth proportional to 213,963.15, 320,764.10 and 134,903.10 is: 202,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,963.15 : 320,764.10 = 134,903.10 : x
  2. Step 2: Convert to fraction form
    213,963.15/320,764.10 = 134,903.10/x
  3. Step 3: Cross multiply
    213,963.15x = 320,764.10 × 134,903.10
  4. Step 4: Simplify right side
    213,963.15x = 43,272,070,784.19
  5. Step 5: Solve for x
    x = 43,272,070,784.19/213,963.15
  6. Step 6: Final answer
    x = 202,240.76

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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.