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Finding the Fourth Proportional to 189,288, 283,980 and 70,959.68

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Solution

The fourth proportional to 189,288, 283,980 and 70,959.68 is: 106,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,288 : 283,980 = 70,959.68 : x
  2. Step 2: Convert to fraction form
    189,288/283,980 = 70,959.68/x
  3. Step 3: Cross multiply
    189,288x = 283,980 × 70,959.68
  4. Step 4: Simplify right side
    189,288x = 20,151,129,926.40
  5. Step 5: Solve for x
    x = 20,151,129,926.40/189,288
  6. Step 6: Final answer
    x = 106,457.51

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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.