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Finding the Fourth Proportional to 172,428.56, 237,951.36 and 96,977

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Solution

The fourth proportional to 172,428.56, 237,951.36 and 96,977 is: 133,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,428.56 : 237,951.36 = 96,977 : x
  2. Step 2: Convert to fraction form
    172,428.56/237,951.36 = 96,977/x
  3. Step 3: Cross multiply
    172,428.56x = 237,951.36 × 96,977
  4. Step 4: Simplify right side
    172,428.56x = 23,075,809,038.72
  5. Step 5: Solve for x
    x = 23,075,809,038.72/172,428.56
  6. Step 6: Final answer
    x = 133,828.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.