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Finding the Fourth Proportional to 208,478, 287,730.52 and 132,004.21

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Solution

The fourth proportional to 208,478, 287,730.52 and 132,004.21 is: 182,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,478 : 287,730.52 = 132,004.21 : x
  2. Step 2: Convert to fraction form
    208,478/287,730.52 = 132,004.21/x
  3. Step 3: Cross multiply
    208,478x = 287,730.52 × 132,004.21
  4. Step 4: Simplify right side
    208,478x = 37,981,639,985.49
  5. Step 5: Solve for x
    x = 37,981,639,985.49/208,478
  6. Step 6: Final answer
    x = 182,185.36

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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.