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Finding the Fourth Proportional to 61,978, 85,528 and 35,119.84

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Solution

The fourth proportional to 61,978, 85,528 and 35,119.84 is: 48,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,978 : 85,528 = 35,119.84 : x
  2. Step 2: Convert to fraction form
    61,978/85,528 = 35,119.84/x
  3. Step 3: Cross multiply
    61,978x = 85,528 × 35,119.84
  4. Step 4: Simplify right side
    61,978x = 3,003,729,675.52
  5. Step 5: Solve for x
    x = 3,003,729,675.52/61,978
  6. Step 6: Final answer
    x = 48,464.45

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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.