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Finding the Fourth Proportional to 188,013, 259,457.94 and 103,130.26

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Solution

The fourth proportional to 188,013, 259,457.94 and 103,130.26 is: 142,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,013 : 259,457.94 = 103,130.26 : x
  2. Step 2: Convert to fraction form
    188,013/259,457.94 = 103,130.26/x
  3. Step 3: Cross multiply
    188,013x = 259,457.94 × 103,130.26
  4. Step 4: Simplify right side
    188,013x = 26,757,964,811.26
  5. Step 5: Solve for x
    x = 26,757,964,811.26/188,013
  6. Step 6: Final answer
    x = 142,319.76

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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.