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Finding the Fourth Proportional to 211,589.76, 317,538 and 78,488.94

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Solution

The fourth proportional to 211,589.76, 317,538 and 78,488.94 is: 117,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,589.76 : 317,538 = 78,488.94 : x
  2. Step 2: Convert to fraction form
    211,589.76/317,538 = 78,488.94/x
  3. Step 3: Cross multiply
    211,589.76x = 317,538 × 78,488.94
  4. Step 4: Simplify right side
    211,589.76x = 24,923,221,029.72
  5. Step 5: Solve for x
    x = 24,923,221,029.72/211,589.76
  6. Step 6: Final answer
    x = 117,790.30

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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.