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Finding the Fourth Proportional to 85,394.79, 117,835.86 and 49,577.81

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Solution

The fourth proportional to 85,394.79, 117,835.86 and 49,577.81 is: 68,412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,394.79 : 117,835.86 = 49,577.81 : x
  2. Step 2: Convert to fraction form
    85,394.79/117,835.86 = 49,577.81/x
  3. Step 3: Cross multiply
    85,394.79x = 117,835.86 × 49,577.81
  4. Step 4: Simplify right side
    85,394.79x = 5,842,043,475.00
  5. Step 5: Solve for x
    x = 5,842,043,475.00/85,394.79
  6. Step 6: Final answer
    x = 68,412.18

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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.