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Finding the Fourth Proportional to 189,035.78, 283,553.66 and 55,905.67

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Solution

The fourth proportional to 189,035.78, 283,553.66 and 55,905.67 is: 83,858.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,035.78 : 283,553.66 = 55,905.67 : x
  2. Step 2: Convert to fraction form
    189,035.78/283,553.66 = 55,905.67/x
  3. Step 3: Cross multiply
    189,035.78x = 283,553.66 × 55,905.67
  4. Step 4: Simplify right side
    189,035.78x = 15,852,257,837.46
  5. Step 5: Solve for x
    x = 15,852,257,837.46/189,035.78
  6. Step 6: Final answer
    x = 83,858.51

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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.