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Finding the Fourth Proportional to 189,781.58, 261,898.53 and 103,740.90

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Solution

The fourth proportional to 189,781.58, 261,898.53 and 103,740.90 is: 143,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,781.58 : 261,898.53 = 103,740.90 : x
  2. Step 2: Convert to fraction form
    189,781.58/261,898.53 = 103,740.90/x
  3. Step 3: Cross multiply
    189,781.58x = 261,898.53 × 103,740.90
  4. Step 4: Simplify right side
    189,781.58x = 27,169,589,210.88
  5. Step 5: Solve for x
    x = 27,169,589,210.88/189,781.58
  6. Step 6: Final answer
    x = 143,162.42

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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.