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Finding the Fourth Proportional to 139,712.29, 209,583.44 and 59,758.56

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Solution

The fourth proportional to 139,712.29, 209,583.44 and 59,758.56 is: 89,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,712.29 : 209,583.44 = 59,758.56 : x
  2. Step 2: Convert to fraction form
    139,712.29/209,583.44 = 59,758.56/x
  3. Step 3: Cross multiply
    139,712.29x = 209,583.44 × 59,758.56
  4. Step 4: Simplify right side
    139,712.29x = 12,524,404,574.25
  5. Step 5: Solve for x
    x = 12,524,404,574.25/139,712.29
  6. Step 6: Final answer
    x = 89,644.26

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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.