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Finding the Fourth Proportional to 259,206, 357,704.28 and 139,974

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Solution

The fourth proportional to 259,206, 357,704.28 and 139,974 is: 193,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,206 : 357,704.28 = 139,974 : x
  2. Step 2: Convert to fraction form
    259,206/357,704.28 = 139,974/x
  3. Step 3: Cross multiply
    259,206x = 357,704.28 × 139,974
  4. Step 4: Simplify right side
    259,206x = 50,069,298,888.72
  5. Step 5: Solve for x
    x = 50,069,298,888.72/259,206
  6. Step 6: Final answer
    x = 193,164.12

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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.