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Finding the Fourth Proportional to 72,057.80, 99,429.48 and 40,226

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Solution

The fourth proportional to 72,057.80, 99,429.48 and 40,226 is: 55,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,057.80 : 99,429.48 = 40,226 : x
  2. Step 2: Convert to fraction form
    72,057.80/99,429.48 = 40,226/x
  3. Step 3: Cross multiply
    72,057.80x = 99,429.48 × 40,226
  4. Step 4: Simplify right side
    72,057.80x = 3,999,650,262.48
  5. Step 5: Solve for x
    x = 3,999,650,262.48/72,057.80
  6. Step 6: Final answer
    x = 55,506.14

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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.