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Finding the Fourth Proportional to 189,874, 284,624.70 and 105,674.50

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Solution

The fourth proportional to 189,874, 284,624.70 and 105,674.50 is: 158,408.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,874 : 284,624.70 = 105,674.50 : x
  2. Step 2: Convert to fraction form
    189,874/284,624.70 = 105,674.50/x
  3. Step 3: Cross multiply
    189,874x = 284,624.70 × 105,674.50
  4. Step 4: Simplify right side
    189,874x = 30,077,572,860.15
  5. Step 5: Solve for x
    x = 30,077,572,860.15/189,874
  6. Step 6: Final answer
    x = 158,408.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.