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Finding the Fourth Proportional to 208,130.85, 312,360.48 and 106,924.86

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Solution

The fourth proportional to 208,130.85, 312,360.48 and 106,924.86 is: 160,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,130.85 : 312,360.48 = 106,924.86 : x
  2. Step 2: Convert to fraction form
    208,130.85/312,360.48 = 106,924.86/x
  3. Step 3: Cross multiply
    208,130.85x = 312,360.48 × 106,924.86
  4. Step 4: Simplify right side
    208,130.85x = 33,399,100,593.53
  5. Step 5: Solve for x
    x = 33,399,100,593.53/208,130.85
  6. Step 6: Final answer
    x = 160,471.65

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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.