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Finding the Fourth Proportional to 50,918, 70,266.84 and 31,046

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Solution

The fourth proportional to 50,918, 70,266.84 and 31,046 is: 42,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,918 : 70,266.84 = 31,046 : x
  2. Step 2: Convert to fraction form
    50,918/70,266.84 = 31,046/x
  3. Step 3: Cross multiply
    50,918x = 70,266.84 × 31,046
  4. Step 4: Simplify right side
    50,918x = 2,181,504,314.64
  5. Step 5: Solve for x
    x = 2,181,504,314.64/50,918
  6. Step 6: Final answer
    x = 42,843.48

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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.