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Finding the Fourth Proportional to 84,382.97, 116,355.71 and 54,156.81

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Solution

The fourth proportional to 84,382.97, 116,355.71 and 54,156.81 is: 74,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,382.97 : 116,355.71 = 54,156.81 : x
  2. Step 2: Convert to fraction form
    84,382.97/116,355.71 = 54,156.81/x
  3. Step 3: Cross multiply
    84,382.97x = 116,355.71 × 54,156.81
  4. Step 4: Simplify right side
    84,382.97x = 6,301,454,078.89
  5. Step 5: Solve for x
    x = 6,301,454,078.89/84,382.97
  6. Step 6: Final answer
    x = 74,676.85

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1.5x scale

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.