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Finding the Fourth Proportional to 85,447.63, 117,751.23 and 61,529.14

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Solution

The fourth proportional to 85,447.63, 117,751.23 and 61,529.14 is: 84,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,447.63 : 117,751.23 = 61,529.14 : x
  2. Step 2: Convert to fraction form
    85,447.63/117,751.23 = 61,529.14/x
  3. Step 3: Cross multiply
    85,447.63x = 117,751.23 × 61,529.14
  4. Step 4: Simplify right side
    85,447.63x = 7,245,132,480.73
  5. Step 5: Solve for x
    x = 7,245,132,480.73/85,447.63
  6. Step 6: Final answer
    x = 84,790.32

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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.