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Finding the Fourth Proportional to 61,578.12, 84,977.80 and 33,283.80

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Solution

The fourth proportional to 61,578.12, 84,977.80 and 33,283.80 is: 45,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,578.12 : 84,977.80 = 33,283.80 : x
  2. Step 2: Convert to fraction form
    61,578.12/84,977.80 = 33,283.80/x
  3. Step 3: Cross multiply
    61,578.12x = 84,977.80 × 33,283.80
  4. Step 4: Simplify right side
    61,578.12x = 2,828,384,099.64
  5. Step 5: Solve for x
    x = 2,828,384,099.64/61,578.12
  6. Step 6: Final answer
    x = 45,931.64

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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.