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Finding the Fourth Proportional to 84,381.97, 116,354.33 and 54,155.81

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Solution

The fourth proportional to 84,381.97, 116,354.33 and 54,155.81 is: 74,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,381.97 : 116,354.33 = 54,155.81 : x
  2. Step 2: Convert to fraction form
    84,381.97/116,354.33 = 54,155.81/x
  3. Step 3: Cross multiply
    84,381.97x = 116,354.33 × 54,155.81
  4. Step 4: Simplify right side
    84,381.97x = 6,301,262,541.78
  5. Step 5: Solve for x
    x = 6,301,262,541.78/84,381.97
  6. Step 6: Final answer
    x = 74,675.46

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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.