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Finding the Fourth Proportional to 208,849.78, 313,303.83 and 103,640.50

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Solution

The fourth proportional to 208,849.78, 313,303.83 and 103,640.50 is: 155,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,849.78 : 313,303.83 = 103,640.50 : x
  2. Step 2: Convert to fraction form
    208,849.78/313,303.83 = 103,640.50/x
  3. Step 3: Cross multiply
    208,849.78x = 313,303.83 × 103,640.50
  4. Step 4: Simplify right side
    208,849.78x = 32,470,965,593.12
  5. Step 5: Solve for x
    x = 32,470,965,593.12/208,849.78
  6. Step 6: Final answer
    x = 155,475.22

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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.