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Finding the Fourth Proportional to 208,237.92, 287,367.84 and 112,744.50

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Solution

The fourth proportional to 208,237.92, 287,367.84 and 112,744.50 is: 155,587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,237.92 : 287,367.84 = 112,744.50 : x
  2. Step 2: Convert to fraction form
    208,237.92/287,367.84 = 112,744.50/x
  3. Step 3: Cross multiply
    208,237.92x = 287,367.84 × 112,744.50
  4. Step 4: Simplify right side
    208,237.92x = 32,399,143,436.88
  5. Step 5: Solve for x
    x = 32,399,143,436.88/208,237.92
  6. Step 6: Final answer
    x = 155,587.14

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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.