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Finding the Fourth Proportional to 202,420.58, 303,588.63 and 76,055.72

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Solution

The fourth proportional to 202,420.58, 303,588.63 and 76,055.72 is: 114,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,420.58 : 303,588.63 = 76,055.72 : x
  2. Step 2: Convert to fraction form
    202,420.58/303,588.63 = 76,055.72/x
  3. Step 3: Cross multiply
    202,420.58x = 303,588.63 × 76,055.72
  4. Step 4: Simplify right side
    202,420.58x = 23,089,650,320.52
  5. Step 5: Solve for x
    x = 23,089,650,320.52/202,420.58
  6. Step 6: Final answer
    x = 114,067.70

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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.