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Finding the Fourth Proportional to 72,821.56, 100,491.71 and 40,556.17

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Solution

The fourth proportional to 72,821.56, 100,491.71 and 40,556.17 is: 55,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,821.56 : 100,491.71 = 40,556.17 : x
  2. Step 2: Convert to fraction form
    72,821.56/100,491.71 = 40,556.17/x
  3. Step 3: Cross multiply
    72,821.56x = 100,491.71 × 40,556.17
  4. Step 4: Simplify right side
    72,821.56x = 4,075,558,420.34
  5. Step 5: Solve for x
    x = 4,075,558,420.34/72,821.56
  6. Step 6: Final answer
    x = 55,966.37

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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.