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Finding the Fourth Proportional to 259,889.30, 358,643.34 and 145,169.54

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Solution

The fourth proportional to 259,889.30, 358,643.34 and 145,169.54 is: 200,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,889.30 : 358,643.34 = 145,169.54 : x
  2. Step 2: Convert to fraction form
    259,889.30/358,643.34 = 145,169.54/x
  3. Step 3: Cross multiply
    259,889.30x = 358,643.34 × 145,169.54
  4. Step 4: Simplify right side
    259,889.30x = 52,064,088,691.86
  5. Step 5: Solve for x
    x = 52,064,088,691.86/259,889.30
  6. Step 6: Final answer
    x = 200,331.79

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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.