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Finding the Fourth Proportional to 213,059.09, 319,565.05 and 76,276.76

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Solution

The fourth proportional to 213,059.09, 319,565.05 and 76,276.76 is: 114,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,059.09 : 319,565.05 = 76,276.76 : x
  2. Step 2: Convert to fraction form
    213,059.09/319,565.05 = 76,276.76/x
  3. Step 3: Cross multiply
    213,059.09x = 319,565.05 × 76,276.76
  4. Step 4: Simplify right side
    213,059.09x = 24,375,384,834.72
  5. Step 5: Solve for x
    x = 24,375,384,834.72/213,059.09
  6. Step 6: Final answer
    x = 114,406.69

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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.