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Finding the Fourth Proportional to 85,146.82, 117,484.64 and 49,334.66

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Solution

The fourth proportional to 85,146.82, 117,484.64 and 49,334.66 is: 68,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,146.82 : 117,484.64 = 49,334.66 : x
  2. Step 2: Convert to fraction form
    85,146.82/117,484.64 = 49,334.66/x
  3. Step 3: Cross multiply
    85,146.82x = 117,484.64 × 49,334.66
  4. Step 4: Simplify right side
    85,146.82x = 5,796,064,769.62
  5. Step 5: Solve for x
    x = 5,796,064,769.62/85,146.82
  6. Step 6: Final answer
    x = 68,071.42

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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.