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Finding the Fourth Proportional to 259,499.52, 389,110.80 and 133,088.46

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Solution

The fourth proportional to 259,499.52, 389,110.80 and 133,088.46 is: 199,561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,499.52 : 389,110.80 = 133,088.46 : x
  2. Step 2: Convert to fraction form
    259,499.52/389,110.80 = 133,088.46/x
  3. Step 3: Cross multiply
    259,499.52x = 389,110.80 × 133,088.46
  4. Step 4: Simplify right side
    259,499.52x = 51,786,157,141.37
  5. Step 5: Solve for x
    x = 51,786,157,141.37/259,499.52
  6. Step 6: Final answer
    x = 199,561.67

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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.