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Finding the Fourth Proportional to 85,992.81, 118,671.16 and 47,754.74

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Solution

The fourth proportional to 85,992.81, 118,671.16 and 47,754.74 is: 65,902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,992.81 : 118,671.16 = 47,754.74 : x
  2. Step 2: Convert to fraction form
    85,992.81/118,671.16 = 47,754.74/x
  3. Step 3: Cross multiply
    85,992.81x = 118,671.16 × 47,754.74
  4. Step 4: Simplify right side
    85,992.81x = 5,667,110,391.30
  5. Step 5: Solve for x
    x = 5,667,110,391.30/85,992.81
  6. Step 6: Final answer
    x = 65,902.14

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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.