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Finding the Fourth Proportional to 84,442.62, 116,396.82 and 66,509.22

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Solution

The fourth proportional to 84,442.62, 116,396.82 and 66,509.22 is: 91,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,442.62 : 116,396.82 = 66,509.22 : x
  2. Step 2: Convert to fraction form
    84,442.62/116,396.82 = 66,509.22/x
  3. Step 3: Cross multiply
    84,442.62x = 116,396.82 × 66,509.22
  4. Step 4: Simplify right side
    84,442.62x = 7,741,461,677.49
  5. Step 5: Solve for x
    x = 7,741,461,677.49/84,442.62
  6. Step 6: Final answer
    x = 91,677.19

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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.