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Finding the Fourth Proportional to 213,311.65, 320,013.61 and 63,564.00

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Solution

The fourth proportional to 213,311.65, 320,013.61 and 63,564.00 is: 95,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,311.65 : 320,013.61 = 63,564.00 : x
  2. Step 2: Convert to fraction form
    213,311.65/320,013.61 = 63,564.00/x
  3. Step 3: Cross multiply
    213,311.65x = 320,013.61 × 63,564.00
  4. Step 4: Simplify right side
    213,311.65x = 20,341,344,150.86
  5. Step 5: Solve for x
    x = 20,341,344,150.86/213,311.65
  6. Step 6: Final answer
    x = 95,359.74

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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.