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Finding the Fourth Proportional to 189,102.51, 260,956.97 and 103,064.21

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Solution

The fourth proportional to 189,102.51, 260,956.97 and 103,064.21 is: 142,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,102.51 : 260,956.97 = 103,064.21 : x
  2. Step 2: Convert to fraction form
    189,102.51/260,956.97 = 103,064.21/x
  3. Step 3: Cross multiply
    189,102.51x = 260,956.97 × 103,064.21
  4. Step 4: Simplify right side
    189,102.51x = 26,895,322,136.94
  5. Step 5: Solve for x
    x = 26,895,322,136.94/189,102.51
  6. Step 6: Final answer
    x = 142,226.15

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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.