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Finding the Fourth Proportional to 185,075.83, 277,728 and 72,736.30

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Solution

The fourth proportional to 185,075.83, 277,728 and 72,736.30 is: 109,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,075.83 : 277,728 = 72,736.30 : x
  2. Step 2: Convert to fraction form
    185,075.83/277,728 = 72,736.30/x
  3. Step 3: Cross multiply
    185,075.83x = 277,728 × 72,736.30
  4. Step 4: Simplify right side
    185,075.83x = 20,200,907,126.40
  5. Step 5: Solve for x
    x = 20,200,907,126.40/185,075.83
  6. Step 6: Final answer
    x = 109,149.35

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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.