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Finding the Fourth Proportional to 189,471, 261,468.18 and 103,429.20

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Solution

The fourth proportional to 189,471, 261,468.18 and 103,429.20 is: 142,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,471 : 261,468.18 = 103,429.20 : x
  2. Step 2: Convert to fraction form
    189,471/261,468.18 = 103,429.20/x
  3. Step 3: Cross multiply
    189,471x = 261,468.18 × 103,429.20
  4. Step 4: Simplify right side
    189,471x = 27,043,444,682.86
  5. Step 5: Solve for x
    x = 27,043,444,682.86/189,471
  6. Step 6: Final answer
    x = 142,731.31

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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.