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Finding the Fourth Proportional to 205,139.99, 307,820.47 and 99,958.95

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Solution

The fourth proportional to 205,139.99, 307,820.47 and 99,958.95 is: 149,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,139.99 : 307,820.47 = 99,958.95 : x
  2. Step 2: Convert to fraction form
    205,139.99/307,820.47 = 99,958.95/x
  3. Step 3: Cross multiply
    205,139.99x = 307,820.47 × 99,958.95
  4. Step 4: Simplify right side
    205,139.99x = 30,769,410,719.81
  5. Step 5: Solve for x
    x = 30,769,410,719.81/205,139.99
  6. Step 6: Final answer
    x = 149,992.26

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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.