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Finding the Fourth Proportional to 77,679, 116,518.55 and 33,277.03

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Solution

The fourth proportional to 77,679, 116,518.55 and 33,277.03 is: 49,915.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,679 : 116,518.55 = 33,277.03 : x
  2. Step 2: Convert to fraction form
    77,679/116,518.55 = 33,277.03/x
  3. Step 3: Cross multiply
    77,679x = 116,518.55 × 33,277.03
  4. Step 4: Simplify right side
    77,679x = 3,877,391,283.91
  5. Step 5: Solve for x
    x = 3,877,391,283.91/77,679
  6. Step 6: Final answer
    x = 49,915.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.