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Finding the Fourth Proportional to 202,355.84, 303,534.98 and 90,009.65

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Solution

The fourth proportional to 202,355.84, 303,534.98 and 90,009.65 is: 135,015.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,355.84 : 303,534.98 = 90,009.65 : x
  2. Step 2: Convert to fraction form
    202,355.84/303,534.98 = 90,009.65/x
  3. Step 3: Cross multiply
    202,355.84x = 303,534.98 × 90,009.65
  4. Step 4: Simplify right side
    202,355.84x = 27,321,075,344.83
  5. Step 5: Solve for x
    x = 27,321,075,344.83/202,355.84
  6. Step 6: Final answer
    x = 135,015.01

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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.