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Finding the Fourth Proportional to 208,207.21, 287,326.87 and 112,713.90

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Solution

The fourth proportional to 208,207.21, 287,326.87 and 112,713.90 is: 155,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,207.21 : 287,326.87 = 112,713.90 : x
  2. Step 2: Convert to fraction form
    208,207.21/287,326.87 = 112,713.90/x
  3. Step 3: Cross multiply
    208,207.21x = 287,326.87 × 112,713.90
  4. Step 4: Simplify right side
    208,207.21x = 32,385,732,092.49
  5. Step 5: Solve for x
    x = 32,385,732,092.49/208,207.21
  6. Step 6: Final answer
    x = 155,545.68

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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.