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Finding the Fourth Proportional to 189,872.92, 262,023.94 and 107,080.32

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Solution

The fourth proportional to 189,872.92, 262,023.94 and 107,080.32 is: 147,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,872.92 : 262,023.94 = 107,080.32 : x
  2. Step 2: Convert to fraction form
    189,872.92/262,023.94 = 107,080.32/x
  3. Step 3: Cross multiply
    189,872.92x = 262,023.94 × 107,080.32
  4. Step 4: Simplify right side
    189,872.92x = 28,057,607,476.71
  5. Step 5: Solve for x
    x = 28,057,607,476.71/189,872.92
  6. Step 6: Final answer
    x = 147,770.46

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1.5x scale

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.