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Finding the Fourth Proportional to 208,989.10, 313,441.74 and 102,327.10

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Solution

The fourth proportional to 208,989.10, 313,441.74 and 102,327.10 is: 153,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,989.10 : 313,441.74 = 102,327.10 : x
  2. Step 2: Convert to fraction form
    208,989.10/313,441.74 = 102,327.10/x
  3. Step 3: Cross multiply
    208,989.10x = 313,441.74 × 102,327.10
  4. Step 4: Simplify right side
    208,989.10x = 32,073,584,273.15
  5. Step 5: Solve for x
    x = 32,073,584,273.15/208,989.10
  6. Step 6: Final answer
    x = 153,470.13

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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.