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Finding the Fourth Proportional to 84,193.72, 116,199.90 and 54,013.12

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Solution

The fourth proportional to 84,193.72, 116,199.90 and 54,013.12 is: 74,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,193.72 : 116,199.90 = 54,013.12 : x
  2. Step 2: Convert to fraction form
    84,193.72/116,199.90 = 54,013.12/x
  3. Step 3: Cross multiply
    84,193.72x = 116,199.90 × 54,013.12
  4. Step 4: Simplify right side
    84,193.72x = 6,276,319,142.69
  5. Step 5: Solve for x
    x = 6,276,319,142.69/84,193.72
  6. Step 6: Final answer
    x = 74,546.17

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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.