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Finding the Fourth Proportional to 189,043.32, 260,857.62 and 108,458.04

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Solution

The fourth proportional to 189,043.32, 260,857.62 and 108,458.04 is: 149,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,043.32 : 260,857.62 = 108,458.04 : x
  2. Step 2: Convert to fraction form
    189,043.32/260,857.62 = 108,458.04/x
  3. Step 3: Cross multiply
    189,043.32x = 260,857.62 × 108,458.04
  4. Step 4: Simplify right side
    189,043.32x = 28,292,106,184.26
  5. Step 5: Solve for x
    x = 28,292,106,184.26/189,043.32
  6. Step 6: Final answer
    x = 149,659.38

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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.