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Finding the Fourth Proportional to 189,101.70, 260,986.59 and 108,554.49

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Solution

The fourth proportional to 189,101.70, 260,986.59 and 108,554.49 is: 149,820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,101.70 : 260,986.59 = 108,554.49 : x
  2. Step 2: Convert to fraction form
    189,101.70/260,986.59 = 108,554.49/x
  3. Step 3: Cross multiply
    189,101.70x = 260,986.59 × 108,554.49
  4. Step 4: Simplify right side
    189,101.70x = 28,331,266,174.29
  5. Step 5: Solve for x
    x = 28,331,266,174.29/189,101.70
  6. Step 6: Final answer
    x = 149,820.26

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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.