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Finding the Fourth Proportional to 103,992.54, 143,517.87 and 61,574.46

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Solution

The fourth proportional to 103,992.54, 143,517.87 and 61,574.46 is: 84,977.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,992.54 : 143,517.87 = 61,574.46 : x
  2. Step 2: Convert to fraction form
    103,992.54/143,517.87 = 61,574.46/x
  3. Step 3: Cross multiply
    103,992.54x = 143,517.87 × 61,574.46
  4. Step 4: Simplify right side
    103,992.54x = 8,837,035,345.60
  5. Step 5: Solve for x
    x = 8,837,035,345.60/103,992.54
  6. Step 6: Final answer
    x = 84,977.59

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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.