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Finding the Fourth Proportional to 208,701.54, 313,049.25 and 144,600.57

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Solution

The fourth proportional to 208,701.54, 313,049.25 and 144,600.57 is: 216,898.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,701.54 : 313,049.25 = 144,600.57 : x
  2. Step 2: Convert to fraction form
    208,701.54/313,049.25 = 144,600.57/x
  3. Step 3: Cross multiply
    208,701.54x = 313,049.25 × 144,600.57
  4. Step 4: Simplify right side
    208,701.54x = 45,267,099,988.07
  5. Step 5: Solve for x
    x = 45,267,099,988.07/208,701.54
  6. Step 6: Final answer
    x = 216,898.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.