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Finding the Fourth Proportional to 61,978, 85,754.82 and 54,036.76

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Solution

The fourth proportional to 61,978, 85,754.82 and 54,036.76 is: 74,767.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,978 : 85,754.82 = 54,036.76 : x
  2. Step 2: Convert to fraction form
    61,978/85,754.82 = 54,036.76/x
  3. Step 3: Cross multiply
    61,978x = 85,754.82 × 54,036.76
  4. Step 4: Simplify right side
    61,978x = 4,633,912,627.18
  5. Step 5: Solve for x
    x = 4,633,912,627.18/61,978
  6. Step 6: Final answer
    x = 74,767.06

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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.