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Finding the Fourth Proportional to 208,944.88, 288,343.93 and 119,520.88

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Solution

The fourth proportional to 208,944.88, 288,343.93 and 119,520.88 is: 164,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,944.88 : 288,343.93 = 119,520.88 : x
  2. Step 2: Convert to fraction form
    208,944.88/288,343.93 = 119,520.88/x
  3. Step 3: Cross multiply
    208,944.88x = 288,343.93 × 119,520.88
  4. Step 4: Simplify right side
    208,944.88x = 34,463,118,515.74
  5. Step 5: Solve for x
    x = 34,463,118,515.74/208,944.88
  6. Step 6: Final answer
    x = 164,938.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.