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Finding the Fourth Proportional to 213,710.64, 320,478.52 and 95,301.04

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Solution

The fourth proportional to 213,710.64, 320,478.52 and 95,301.04 is: 142,912.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,710.64 : 320,478.52 = 95,301.04 : x
  2. Step 2: Convert to fraction form
    213,710.64/320,478.52 = 95,301.04/x
  3. Step 3: Cross multiply
    213,710.64x = 320,478.52 × 95,301.04
  4. Step 4: Simplify right side
    213,710.64x = 30,541,936,253.66
  5. Step 5: Solve for x
    x = 30,541,936,253.66/213,710.64
  6. Step 6: Final answer
    x = 142,912.57

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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.