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Finding the Fourth Proportional to 202,055.80, 303,739.80 and 143,298.40

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Solution

The fourth proportional to 202,055.80, 303,739.80 and 143,298.40 is: 215,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,055.80 : 303,739.80 = 143,298.40 : x
  2. Step 2: Convert to fraction form
    202,055.80/303,739.80 = 143,298.40/x
  3. Step 3: Cross multiply
    202,055.80x = 303,739.80 × 143,298.40
  4. Step 4: Simplify right side
    202,055.80x = 43,525,427,356.32
  5. Step 5: Solve for x
    x = 43,525,427,356.32/202,055.80
  6. Step 6: Final answer
    x = 215,412.91

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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.