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Finding the Fourth Proportional to 189,485.30, 261,493.67 and 103,447.91

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Solution

The fourth proportional to 189,485.30, 261,493.67 and 103,447.91 is: 142,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,485.30 : 261,493.67 = 103,447.91 : x
  2. Step 2: Convert to fraction form
    189,485.30/261,493.67 = 103,447.91/x
  3. Step 3: Cross multiply
    189,485.30x = 261,493.67 × 103,447.91
  4. Step 4: Simplify right side
    189,485.30x = 27,050,972,986.00
  5. Step 5: Solve for x
    x = 27,050,972,986.00/189,485.30
  6. Step 6: Final answer
    x = 142,760.27

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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.