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Finding the Fourth Proportional to 85,357.96, 117,833.85 and 49,541.06

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Solution

The fourth proportional to 85,357.96, 117,833.85 and 49,541.06 is: 68,389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,357.96 : 117,833.85 = 49,541.06 : x
  2. Step 2: Convert to fraction form
    85,357.96/117,833.85 = 49,541.06/x
  3. Step 3: Cross multiply
    85,357.96x = 117,833.85 × 49,541.06
  4. Step 4: Simplify right side
    85,357.96x = 5,837,613,368.61
  5. Step 5: Solve for x
    x = 5,837,613,368.61/85,357.96
  6. Step 6: Final answer
    x = 68,389.79

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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.