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Finding the Fourth Proportional to 85,444.56, 117,907.92 and 47,203.92

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Solution

The fourth proportional to 85,444.56, 117,907.92 and 47,203.92 is: 65,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,444.56 : 117,907.92 = 47,203.92 : x
  2. Step 2: Convert to fraction form
    85,444.56/117,907.92 = 47,203.92/x
  3. Step 3: Cross multiply
    85,444.56x = 117,907.92 × 47,203.92
  4. Step 4: Simplify right side
    85,444.56x = 5,565,716,023.05
  5. Step 5: Solve for x
    x = 5,565,716,023.05/85,444.56
  6. Step 6: Final answer
    x = 65,138.33

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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.