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Finding the Fourth Proportional to 209,981.94, 289,768.77 and 114,490.50

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Solution

The fourth proportional to 209,981.94, 289,768.77 and 114,490.50 is: 157,993.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,981.94 : 289,768.77 = 114,490.50 : x
  2. Step 2: Convert to fraction form
    209,981.94/289,768.77 = 114,490.50/x
  3. Step 3: Cross multiply
    209,981.94x = 289,768.77 × 114,490.50
  4. Step 4: Simplify right side
    209,981.94x = 33,175,771,361.69
  5. Step 5: Solve for x
    x = 33,175,771,361.69/209,981.94
  6. Step 6: Final answer
    x = 157,993.45

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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.