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Finding the Fourth Proportional to 189,303, 283,871.34 and 70,891.30

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Solution

The fourth proportional to 189,303, 283,871.34 and 70,891.30 is: 106,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,303 : 283,871.34 = 70,891.30 : x
  2. Step 2: Convert to fraction form
    189,303/283,871.34 = 70,891.30/x
  3. Step 3: Cross multiply
    189,303x = 283,871.34 × 70,891.30
  4. Step 4: Simplify right side
    189,303x = 20,124,008,325.34
  5. Step 5: Solve for x
    x = 20,124,008,325.34/189,303
  6. Step 6: Final answer
    x = 106,305.81

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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.