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Finding the Fourth Proportional to 189,782.19, 261,866.49 and 117,225.73

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Solution

The fourth proportional to 189,782.19, 261,866.49 and 117,225.73 is: 161,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,782.19 : 261,866.49 = 117,225.73 : x
  2. Step 2: Convert to fraction form
    189,782.19/261,866.49 = 117,225.73/x
  3. Step 3: Cross multiply
    189,782.19x = 261,866.49 × 117,225.73
  4. Step 4: Simplify right side
    189,782.19x = 30,697,489,211.99
  5. Step 5: Solve for x
    x = 30,697,489,211.99/189,782.19
  6. Step 6: Final answer
    x = 161,751.16

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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.