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Finding the Fourth Proportional to 208,230.27, 287,363.66 and 117,599.87

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Solution

The fourth proportional to 208,230.27, 287,363.66 and 117,599.87 is: 162,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,230.27 : 287,363.66 = 117,599.87 : x
  2. Step 2: Convert to fraction form
    208,230.27/287,363.66 = 117,599.87/x
  3. Step 3: Cross multiply
    208,230.27x = 287,363.66 × 117,599.87
  4. Step 4: Simplify right side
    208,230.27x = 33,793,927,033.91
  5. Step 5: Solve for x
    x = 33,793,927,033.91/208,230.27
  6. Step 6: Final answer
    x = 162,291.14

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1.5x scale

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.