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Finding the Fourth Proportional to 189,092.09, 260,947.10 and 104,209.16

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Solution

The fourth proportional to 189,092.09, 260,947.10 and 104,209.16 is: 143,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,092.09 : 260,947.10 = 104,209.16 : x
  2. Step 2: Convert to fraction form
    189,092.09/260,947.10 = 104,209.16/x
  3. Step 3: Cross multiply
    189,092.09x = 260,947.10 × 104,209.16
  4. Step 4: Simplify right side
    189,092.09x = 27,193,076,269.65
  5. Step 5: Solve for x
    x = 27,193,076,269.65/189,092.09
  6. Step 6: Final answer
    x = 143,808.64

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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.