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Finding the Fourth Proportional to 136,258.96, 188,035.56 and 76,642.96

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Solution

The fourth proportional to 136,258.96, 188,035.56 and 76,642.96 is: 105,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,258.96 : 188,035.56 = 76,642.96 : x
  2. Step 2: Convert to fraction form
    136,258.96/188,035.56 = 76,642.96/x
  3. Step 3: Cross multiply
    136,258.96x = 188,035.56 × 76,642.96
  4. Step 4: Simplify right side
    136,258.96x = 14,411,601,903.66
  5. Step 5: Solve for x
    x = 14,411,601,903.66/136,258.96
  6. Step 6: Final answer
    x = 105,766.27

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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.