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Finding the Fourth Proportional to 72,476.80, 100,018.82 and 40,212.02

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Solution

The fourth proportional to 72,476.80, 100,018.82 and 40,212.02 is: 55,493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,476.80 : 100,018.82 = 40,212.02 : x
  2. Step 2: Convert to fraction form
    72,476.80/100,018.82 = 40,212.02/x
  3. Step 3: Cross multiply
    72,476.80x = 100,018.82 × 40,212.02
  4. Step 4: Simplify right side
    72,476.80x = 4,021,959,140.79
  5. Step 5: Solve for x
    x = 4,021,959,140.79/72,476.80
  6. Step 6: Final answer
    x = 55,493.06

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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.