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Finding the Fourth Proportional to 74,440, 102,774.72 and 51,770.80

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Solution

The fourth proportional to 74,440, 102,774.72 and 51,770.80 is: 71,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,440 : 102,774.72 = 51,770.80 : x
  2. Step 2: Convert to fraction form
    74,440/102,774.72 = 51,770.80/x
  3. Step 3: Cross multiply
    74,440x = 102,774.72 × 51,770.80
  4. Step 4: Simplify right side
    74,440x = 5,320,729,474.18
  5. Step 5: Solve for x
    x = 5,320,729,474.18/74,440
  6. Step 6: Final answer
    x = 71,476.75

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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.