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Finding the Fourth Proportional to 208,987.62, 313,439.49 and 102,325.59

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Solution

The fourth proportional to 208,987.62, 313,439.49 and 102,325.59 is: 153,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,987.62 : 313,439.49 = 102,325.59 : x
  2. Step 2: Convert to fraction form
    208,987.62/313,439.49 = 102,325.59/x
  3. Step 3: Cross multiply
    208,987.62x = 313,439.49 × 102,325.59
  4. Step 4: Simplify right side
    208,987.62x = 32,072,880,743.55
  5. Step 5: Solve for x
    x = 32,072,880,743.55/208,987.62
  6. Step 6: Final answer
    x = 153,467.85

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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.