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Finding the Fourth Proportional to 189,876.64, 262,021.88 and 109,312.44

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Solution

The fourth proportional to 189,876.64, 262,021.88 and 109,312.44 is: 150,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,876.64 : 262,021.88 = 109,312.44 : x
  2. Step 2: Convert to fraction form
    189,876.64/262,021.88 = 109,312.44/x
  3. Step 3: Cross multiply
    189,876.64x = 262,021.88 × 109,312.44
  4. Step 4: Simplify right side
    189,876.64x = 28,642,251,036.19
  5. Step 5: Solve for x
    x = 28,642,251,036.19/189,876.64
  6. Step 6: Final answer
    x = 150,846.63

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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.