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Finding the Fourth Proportional to 189,029.16, 260,871.12 and 108,455.94

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Solution

The fourth proportional to 189,029.16, 260,871.12 and 108,455.94 is: 149,675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,029.16 : 260,871.12 = 108,455.94 : x
  2. Step 2: Convert to fraction form
    189,029.16/260,871.12 = 108,455.94/x
  3. Step 3: Cross multiply
    189,029.16x = 260,871.12 × 108,455.94
  4. Step 4: Simplify right side
    189,029.16x = 28,293,022,538.45
  5. Step 5: Solve for x
    x = 28,293,022,538.45/189,029.16
  6. Step 6: Final answer
    x = 149,675.44

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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.