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Finding the Fourth Proportional to 50,848, 70,170.26 and 30,976

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Solution

The fourth proportional to 50,848, 70,170.26 and 30,976 is: 42,746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,848 : 70,170.26 = 30,976 : x
  2. Step 2: Convert to fraction form
    50,848/70,170.26 = 30,976/x
  3. Step 3: Cross multiply
    50,848x = 70,170.26 × 30,976
  4. Step 4: Simplify right side
    50,848x = 2,173,593,973.76
  5. Step 5: Solve for x
    x = 2,173,593,973.76/50,848
  6. Step 6: Final answer
    x = 42,746.89

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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.