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Finding the Fourth Proportional to 82,912.80, 124,174.80 and 56,474.40

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Solution

The fourth proportional to 82,912.80, 124,174.80 and 56,474.40 is: 84,579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.80 : 124,174.80 = 56,474.40 : x
  2. Step 2: Convert to fraction form
    82,912.80/124,174.80 = 56,474.40/x
  3. Step 3: Cross multiply
    82,912.80x = 124,174.80 × 56,474.40
  4. Step 4: Simplify right side
    82,912.80x = 7,012,697,325.12
  5. Step 5: Solve for x
    x = 7,012,697,325.12/82,912.80
  6. Step 6: Final answer
    x = 84,579.19

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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.