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Finding the Fourth Proportional to 103,651.53, 143,033.85 and 61,201.86

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Solution

The fourth proportional to 103,651.53, 143,033.85 and 61,201.86 is: 84,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,651.53 : 143,033.85 = 61,201.86 : x
  2. Step 2: Convert to fraction form
    103,651.53/143,033.85 = 61,201.86/x
  3. Step 3: Cross multiply
    103,651.53x = 143,033.85 × 61,201.86
  4. Step 4: Simplify right side
    103,651.53x = 8,753,937,662.96
  5. Step 5: Solve for x
    x = 8,753,937,662.96/103,651.53
  6. Step 6: Final answer
    x = 84,455.46

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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.