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Finding the Fourth Proportional to 221,030.02, 305,021.46 and 120,428.02

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Solution

The fourth proportional to 221,030.02, 305,021.46 and 120,428.02 is: 166,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,030.02 : 305,021.46 = 120,428.02 : x
  2. Step 2: Convert to fraction form
    221,030.02/305,021.46 = 120,428.02/x
  3. Step 3: Cross multiply
    221,030.02x = 305,021.46 × 120,428.02
  4. Step 4: Simplify right side
    221,030.02x = 36,733,130,485.31
  5. Step 5: Solve for x
    x = 36,733,130,485.31/221,030.02
  6. Step 6: Final answer
    x = 166,190.69

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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.