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Finding the Fourth Proportional to 50,045.56, 75,065.10 and 18,880

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Solution

The fourth proportional to 50,045.56, 75,065.10 and 18,880 is: 28,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,045.56 : 75,065.10 = 18,880 : x
  2. Step 2: Convert to fraction form
    50,045.56/75,065.10 = 18,880/x
  3. Step 3: Cross multiply
    50,045.56x = 75,065.10 × 18,880
  4. Step 4: Simplify right side
    50,045.56x = 1,417,229,088
  5. Step 5: Solve for x
    x = 1,417,229,088/50,045.56
  6. Step 6: Final answer
    x = 28,318.78

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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.