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Finding the Fourth Proportional to 208,513.50, 287,748.66 and 113,019.90

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Solution

The fourth proportional to 208,513.50, 287,748.66 and 113,019.90 is: 155,967.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,513.50 : 287,748.66 = 113,019.90 : x
  2. Step 2: Convert to fraction form
    208,513.50/287,748.66 = 113,019.90/x
  3. Step 3: Cross multiply
    208,513.50x = 287,748.66 × 113,019.90
  4. Step 4: Simplify right side
    208,513.50x = 32,521,324,778.33
  5. Step 5: Solve for x
    x = 32,521,324,778.33/208,513.50
  6. Step 6: Final answer
    x = 155,967.48

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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.