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Finding the Fourth Proportional to 189,379.33, 283,994.88 and 70,986.10

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Solution

The fourth proportional to 189,379.33, 283,994.88 and 70,986.10 is: 106,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,379.33 : 283,994.88 = 70,986.10 : x
  2. Step 2: Convert to fraction form
    189,379.33/283,994.88 = 70,986.10/x
  3. Step 3: Cross multiply
    189,379.33x = 283,994.88 × 70,986.10
  4. Step 4: Simplify right side
    189,379.33x = 20,159,688,951.17
  5. Step 5: Solve for x
    x = 20,159,688,951.17/189,379.33
  6. Step 6: Final answer
    x = 106,451.37

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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.