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Finding the Fourth Proportional to 208,241.40, 311,924.70 and 114,637.80

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Solution

The fourth proportional to 208,241.40, 311,924.70 and 114,637.80 is: 171,715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,241.40 : 311,924.70 = 114,637.80 : x
  2. Step 2: Convert to fraction form
    208,241.40/311,924.70 = 114,637.80/x
  3. Step 3: Cross multiply
    208,241.40x = 311,924.70 × 114,637.80
  4. Step 4: Simplify right side
    208,241.40x = 35,758,361,373.66
  5. Step 5: Solve for x
    x = 35,758,361,373.66/208,241.40
  6. Step 6: Final answer
    x = 171,715.91

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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.