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Finding the Fourth Proportional to 188,074.98, 259,541.15 and 103,191.98

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Solution

The fourth proportional to 188,074.98, 259,541.15 and 103,191.98 is: 142,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,074.98 : 259,541.15 = 103,191.98 : x
  2. Step 2: Convert to fraction form
    188,074.98/259,541.15 = 103,191.98/x
  3. Step 3: Cross multiply
    188,074.98x = 259,541.15 × 103,191.98
  4. Step 4: Simplify right side
    188,074.98x = 26,782,563,346.31
  5. Step 5: Solve for x
    x = 26,782,563,346.31/188,074.98
  6. Step 6: Final answer
    x = 142,403.65

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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.