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Finding the Fourth Proportional to 189,406, 261,385.80 and 103,370.53

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Solution

The fourth proportional to 189,406, 261,385.80 and 103,370.53 is: 142,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,406 : 261,385.80 = 103,370.53 : x
  2. Step 2: Convert to fraction form
    189,406/261,385.80 = 103,370.53/x
  3. Step 3: Cross multiply
    189,406x = 261,385.80 × 103,370.53
  4. Step 4: Simplify right side
    189,406x = 27,019,588,680.47
  5. Step 5: Solve for x
    x = 27,019,588,680.47/189,406
  6. Step 6: Final answer
    x = 142,654.34

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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.