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Finding the Fourth Proportional to 101,871, 140,583.06 and 57,159

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Solution

The fourth proportional to 101,871, 140,583.06 and 57,159 is: 78,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,871 : 140,583.06 = 57,159 : x
  2. Step 2: Convert to fraction form
    101,871/140,583.06 = 57,159/x
  3. Step 3: Cross multiply
    101,871x = 140,583.06 × 57,159
  4. Step 4: Simplify right side
    101,871x = 8,035,587,126.54
  5. Step 5: Solve for x
    x = 8,035,587,126.54/101,871
  6. Step 6: Final answer
    x = 78,880.03

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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.