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Finding the Fourth Proportional to 208,476, 287,727.76 and 132,002.21

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Solution

The fourth proportional to 208,476, 287,727.76 and 132,002.21 is: 182,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,476 : 287,727.76 = 132,002.21 : x
  2. Step 2: Convert to fraction form
    208,476/287,727.76 = 132,002.21/x
  3. Step 3: Cross multiply
    208,476x = 287,727.76 × 132,002.21
  4. Step 4: Simplify right side
    208,476x = 37,980,700,198.35
  5. Step 5: Solve for x
    x = 37,980,700,198.35/208,476
  6. Step 6: Final answer
    x = 182,182.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.