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Finding the Fourth Proportional to 72,055, 99,435.54 and 40,222

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Solution

The fourth proportional to 72,055, 99,435.54 and 40,222 is: 55,506.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,055 : 99,435.54 = 40,222 : x
  2. Step 2: Convert to fraction form
    72,055/99,435.54 = 40,222/x
  3. Step 3: Cross multiply
    72,055x = 99,435.54 × 40,222
  4. Step 4: Simplify right side
    72,055x = 3,999,496,289.88
  5. Step 5: Solve for x
    x = 3,999,496,289.88/72,055
  6. Step 6: Final answer
    x = 55,506.16

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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.