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Finding the Fourth Proportional to 50,889, 70,226.85 and 31,017

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Solution

The fourth proportional to 50,889, 70,226.85 and 31,017 is: 42,803.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,889 : 70,226.85 = 31,017 : x
  2. Step 2: Convert to fraction form
    50,889/70,226.85 = 31,017/x
  3. Step 3: Cross multiply
    50,889x = 70,226.85 × 31,017
  4. Step 4: Simplify right side
    50,889x = 2,178,226,206.45
  5. Step 5: Solve for x
    x = 2,178,226,206.45/50,889
  6. Step 6: Final answer
    x = 42,803.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.