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Finding the Fourth Proportional to 72,209.40, 99,583.74 and 51,082.98

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Solution

The fourth proportional to 72,209.40, 99,583.74 and 51,082.98 is: 70,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,209.40 : 99,583.74 = 51,082.98 : x
  2. Step 2: Convert to fraction form
    72,209.40/99,583.74 = 51,082.98/x
  3. Step 3: Cross multiply
    72,209.40x = 99,583.74 × 51,082.98
  4. Step 4: Simplify right side
    72,209.40x = 5,087,034,198.75
  5. Step 5: Solve for x
    x = 5,087,034,198.75/72,209.40
  6. Step 6: Final answer
    x = 70,448.37

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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.