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Finding the Fourth Proportional to 189,679.74, 261,675.81 and 114,184.50

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Solution

The fourth proportional to 189,679.74, 261,675.81 and 114,184.50 is: 157,525.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,679.74 : 261,675.81 = 114,184.50 : x
  2. Step 2: Convert to fraction form
    189,679.74/261,675.81 = 114,184.50/x
  3. Step 3: Cross multiply
    189,679.74x = 261,675.81 × 114,184.50
  4. Step 4: Simplify right side
    189,679.74x = 29,879,321,526.95
  5. Step 5: Solve for x
    x = 29,879,321,526.95/189,679.74
  6. Step 6: Final answer
    x = 157,525.11

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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.