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Finding the Fourth Proportional to 208,991.48, 288,496.50 and 141,100.42

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Solution

The fourth proportional to 208,991.48, 288,496.50 and 141,100.42 is: 194,778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,991.48 : 288,496.50 = 141,100.42 : x
  2. Step 2: Convert to fraction form
    208,991.48/288,496.50 = 141,100.42/x
  3. Step 3: Cross multiply
    208,991.48x = 288,496.50 × 141,100.42
  4. Step 4: Simplify right side
    208,991.48x = 40,706,977,318.53
  5. Step 5: Solve for x
    x = 40,706,977,318.53/208,991.48
  6. Step 6: Final answer
    x = 194,778.17

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1.5x scale

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.