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Finding the Fourth Proportional to 147,303, 203,278.14 and 80,235

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Solution

The fourth proportional to 147,303, 203,278.14 and 80,235 is: 110,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,303 : 203,278.14 = 80,235 : x
  2. Step 2: Convert to fraction form
    147,303/203,278.14 = 80,235/x
  3. Step 3: Cross multiply
    147,303x = 203,278.14 × 80,235
  4. Step 4: Simplify right side
    147,303x = 16,310,021,562.90
  5. Step 5: Solve for x
    x = 16,310,021,562.90/147,303
  6. Step 6: Final answer
    x = 110,724.30

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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.