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Finding the Fourth Proportional to 208,555.32, 312,826.88 and 50,781.48

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Solution

The fourth proportional to 208,555.32, 312,826.88 and 50,781.48 is: 76,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,555.32 : 312,826.88 = 50,781.48 : x
  2. Step 2: Convert to fraction form
    208,555.32/312,826.88 = 50,781.48/x
  3. Step 3: Cross multiply
    208,555.32x = 312,826.88 × 50,781.48
  4. Step 4: Simplify right side
    208,555.32x = 15,885,811,950.18
  5. Step 5: Solve for x
    x = 15,885,811,950.18/208,555.32
  6. Step 6: Final answer
    x = 76,170.73

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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.