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Finding the Fourth Proportional to 136,410.93, 188,246.61 and 75,978

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Solution

The fourth proportional to 136,410.93, 188,246.61 and 75,978 is: 104,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,410.93 : 188,246.61 = 75,978 : x
  2. Step 2: Convert to fraction form
    136,410.93/188,246.61 = 75,978/x
  3. Step 3: Cross multiply
    136,410.93x = 188,246.61 × 75,978
  4. Step 4: Simplify right side
    136,410.93x = 14,302,600,934.58
  5. Step 5: Solve for x
    x = 14,302,600,934.58/136,410.93
  6. Step 6: Final answer
    x = 104,849.38

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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.