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Finding the Fourth Proportional to 82,075.50, 123,113.25 and 19,746

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Solution

The fourth proportional to 82,075.50, 123,113.25 and 19,746 is: 29,619

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,075.50 : 123,113.25 = 19,746 : x
  2. Step 2: Convert to fraction form
    82,075.50/123,113.25 = 19,746/x
  3. Step 3: Cross multiply
    82,075.50x = 123,113.25 × 19,746
  4. Step 4: Simplify right side
    82,075.50x = 2,430,994,234.50
  5. Step 5: Solve for x
    x = 2,430,994,234.50/82,075.50
  6. Step 6: Final answer
    x = 29,619

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