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Finding the Fourth Proportional to 72,583.78, 100,166.01 and 40,753.06

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Solution

The fourth proportional to 72,583.78, 100,166.01 and 40,753.06 is: 56,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,583.78 : 100,166.01 = 40,753.06 : x
  2. Step 2: Convert to fraction form
    72,583.78/100,166.01 = 40,753.06/x
  3. Step 3: Cross multiply
    72,583.78x = 100,166.01 × 40,753.06
  4. Step 4: Simplify right side
    72,583.78x = 4,082,071,415.49
  5. Step 5: Solve for x
    x = 4,082,071,415.49/72,583.78
  6. Step 6: Final answer
    x = 56,239.44

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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.