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Finding the Fourth Proportional to 76,258, 114,394.92 and 20,854

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Solution

The fourth proportional to 76,258, 114,394.92 and 20,854 is: 31,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,258 : 114,394.92 = 20,854 : x
  2. Step 2: Convert to fraction form
    76,258/114,394.92 = 20,854/x
  3. Step 3: Cross multiply
    76,258x = 114,394.92 × 20,854
  4. Step 4: Simplify right side
    76,258x = 2,385,591,661.68
  5. Step 5: Solve for x
    x = 2,385,591,661.68/76,258
  6. Step 6: Final answer
    x = 31,283.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.