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Finding the Fourth Proportional to 208,854, 313,223.55 and 102,183.07

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Solution

The fourth proportional to 208,854, 313,223.55 and 102,183.07 is: 153,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,854 : 313,223.55 = 102,183.07 : x
  2. Step 2: Convert to fraction form
    208,854/313,223.55 = 102,183.07/x
  3. Step 3: Cross multiply
    208,854x = 313,223.55 × 102,183.07
  4. Step 4: Simplify right side
    208,854x = 32,006,143,935.30
  5. Step 5: Solve for x
    x = 32,006,143,935.30/208,854
  6. Step 6: Final answer
    x = 153,246.50

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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.