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Finding the Fourth Proportional to 259,311, 389,032.14 and 72,322.50

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Solution

The fourth proportional to 259,311, 389,032.14 and 72,322.50 is: 108,502.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,311 : 389,032.14 = 72,322.50 : x
  2. Step 2: Convert to fraction form
    259,311/389,032.14 = 72,322.50/x
  3. Step 3: Cross multiply
    259,311x = 389,032.14 × 72,322.50
  4. Step 4: Simplify right side
    259,311x = 28,135,776,945.15
  5. Step 5: Solve for x
    x = 28,135,776,945.15/259,311
  6. Step 6: Final answer
    x = 108,502.06

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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.