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Finding the Fourth Proportional to 208,988.96, 313,384.64 and 80,965.22

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Solution

The fourth proportional to 208,988.96, 313,384.64 and 80,965.22 is: 121,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,988.96 : 313,384.64 = 80,965.22 : x
  2. Step 2: Convert to fraction form
    208,988.96/313,384.64 = 80,965.22/x
  3. Step 3: Cross multiply
    208,988.96x = 313,384.64 × 80,965.22
  4. Step 4: Simplify right side
    208,988.96x = 25,373,254,350.47
  5. Step 5: Solve for x
    x = 25,373,254,350.47/208,988.96
  6. Step 6: Final answer
    x = 121,409.55

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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.