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Finding the Fourth Proportional to 77,075.65, 106,362.16 and 43,084.20

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Solution

The fourth proportional to 77,075.65, 106,362.16 and 43,084.20 is: 59,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,075.65 : 106,362.16 = 43,084.20 : x
  2. Step 2: Convert to fraction form
    77,075.65/106,362.16 = 43,084.20/x
  3. Step 3: Cross multiply
    77,075.65x = 106,362.16 × 43,084.20
  4. Step 4: Simplify right side
    77,075.65x = 4,582,529,107.37
  5. Step 5: Solve for x
    x = 4,582,529,107.37/77,075.65
  6. Step 6: Final answer
    x = 59,454.95

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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.