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Finding the Fourth Proportional to 202,361.10, 303,541.65 and 102,828.30

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Solution

The fourth proportional to 202,361.10, 303,541.65 and 102,828.30 is: 154,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,361.10 : 303,541.65 = 102,828.30 : x
  2. Step 2: Convert to fraction form
    202,361.10/303,541.65 = 102,828.30/x
  3. Step 3: Cross multiply
    202,361.10x = 303,541.65 × 102,828.30
  4. Step 4: Simplify right side
    202,361.10x = 31,212,671,848.70
  5. Step 5: Solve for x
    x = 31,212,671,848.70/202,361.10
  6. Step 6: Final answer
    x = 154,242.45

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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.