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Finding the Fourth Proportional to 202,564.80, 303,661.44 and 77,811.84

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Solution

The fourth proportional to 202,564.80, 303,661.44 and 77,811.84 is: 116,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,564.80 : 303,661.44 = 77,811.84 : x
  2. Step 2: Convert to fraction form
    202,564.80/303,661.44 = 77,811.84/x
  3. Step 3: Cross multiply
    202,564.80x = 303,661.44 × 77,811.84
  4. Step 4: Simplify right side
    202,564.80x = 23,628,455,383.45
  5. Step 5: Solve for x
    x = 23,628,455,383.45/202,564.80
  6. Step 6: Final answer
    x = 116,646.40

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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.