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Finding the Fourth Proportional to 133,983.53, 200,712.54 and 77,705.41

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Solution

The fourth proportional to 133,983.53, 200,712.54 and 77,705.41 is: 116,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,983.53 : 200,712.54 = 77,705.41 : x
  2. Step 2: Convert to fraction form
    133,983.53/200,712.54 = 77,705.41/x
  3. Step 3: Cross multiply
    133,983.53x = 200,712.54 × 77,705.41
  4. Step 4: Simplify right side
    133,983.53x = 15,596,450,378.79
  5. Step 5: Solve for x
    x = 15,596,450,378.79/133,983.53
  6. Step 6: Final answer
    x = 116,405.73

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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.