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Finding the Fourth Proportional to 208,221.40, 311,894.70 and 114,617.80

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Solution

The fourth proportional to 208,221.40, 311,894.70 and 114,617.80 is: 171,685.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,221.40 : 311,894.70 = 114,617.80 : x
  2. Step 2: Convert to fraction form
    208,221.40/311,894.70 = 114,617.80/x
  3. Step 3: Cross multiply
    208,221.40x = 311,894.70 × 114,617.80
  4. Step 4: Simplify right side
    208,221.40x = 35,748,684,345.66
  5. Step 5: Solve for x
    x = 35,748,684,345.66/208,221.40
  6. Step 6: Final answer
    x = 171,685.93

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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.