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Finding the Fourth Proportional to 189,213.63, 260,843.49 and 148,857.32

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Solution

The fourth proportional to 189,213.63, 260,843.49 and 148,857.32 is: 205,209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,213.63 : 260,843.49 = 148,857.32 : x
  2. Step 2: Convert to fraction form
    189,213.63/260,843.49 = 148,857.32/x
  3. Step 3: Cross multiply
    189,213.63x = 260,843.49 × 148,857.32
  4. Step 4: Simplify right side
    189,213.63x = 38,828,461,556.63
  5. Step 5: Solve for x
    x = 38,828,461,556.63/189,213.63
  6. Step 6: Final answer
    x = 205,209.64

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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.