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Finding the Fourth Proportional to 136,941.18, 188,978.31 and 76,517.34

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Solution

The fourth proportional to 136,941.18, 188,978.31 and 76,517.34 is: 105,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,941.18 : 188,978.31 = 76,517.34 : x
  2. Step 2: Convert to fraction form
    136,941.18/188,978.31 = 76,517.34/x
  3. Step 3: Cross multiply
    136,941.18x = 188,978.31 × 76,517.34
  4. Step 4: Simplify right side
    136,941.18x = 14,460,117,598.90
  5. Step 5: Solve for x
    x = 14,460,117,598.90/136,941.18
  6. Step 6: Final answer
    x = 105,593.64

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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.