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Finding the Fourth Proportional to 136,643.33, 188,566.89 and 75,392.68

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Solution

The fourth proportional to 136,643.33, 188,566.89 and 75,392.68 is: 104,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,643.33 : 188,566.89 = 75,392.68 : x
  2. Step 2: Convert to fraction form
    136,643.33/188,566.89 = 75,392.68/x
  3. Step 3: Cross multiply
    136,643.33x = 188,566.89 × 75,392.68
  4. Step 4: Simplify right side
    136,643.33x = 14,216,562,724.95
  5. Step 5: Solve for x
    x = 14,216,562,724.95/136,643.33
  6. Step 6: Final answer
    x = 104,041.39

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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.