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Finding the Fourth Proportional to 136,258.57, 188,035.45 and 75,828.19

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Solution

The fourth proportional to 136,258.57, 188,035.45 and 75,828.19 is: 104,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,258.57 : 188,035.45 = 75,828.19 : x
  2. Step 2: Convert to fraction form
    136,258.57/188,035.45 = 75,828.19/x
  3. Step 3: Cross multiply
    136,258.57x = 188,035.45 × 75,828.19
  4. Step 4: Simplify right side
    136,258.57x = 14,258,387,471.08
  5. Step 5: Solve for x
    x = 14,258,387,471.08/136,258.57
  6. Step 6: Final answer
    x = 104,642.14

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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.