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Finding the Fourth Proportional to 139,005.97, 208,434 and 74,998.42

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Solution

The fourth proportional to 139,005.97, 208,434 and 74,998.42 is: 112,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,005.97 : 208,434 = 74,998.42 : x
  2. Step 2: Convert to fraction form
    139,005.97/208,434 = 74,998.42/x
  3. Step 3: Cross multiply
    139,005.97x = 208,434 × 74,998.42
  4. Step 4: Simplify right side
    139,005.97x = 15,632,220,674.28
  5. Step 5: Solve for x
    x = 15,632,220,674.28/139,005.97
  6. Step 6: Final answer
    x = 112,457.19

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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.