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Finding the Fourth Proportional to 189,088.92, 260,939.22 and 103,048.59

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Solution

The fourth proportional to 189,088.92, 260,939.22 and 103,048.59 is: 142,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,088.92 : 260,939.22 = 103,048.59 : x
  2. Step 2: Convert to fraction form
    189,088.92/260,939.22 = 103,048.59/x
  3. Step 3: Cross multiply
    189,088.92x = 260,939.22 × 103,048.59
  4. Step 4: Simplify right side
    189,088.92x = 26,889,418,696.70
  5. Step 5: Solve for x
    x = 26,889,418,696.70/189,088.92
  6. Step 6: Final answer
    x = 142,205.15

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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.