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Finding the Fourth Proportional to 73,017.68, 100,745.25 and 42,786.77

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Solution

The fourth proportional to 73,017.68, 100,745.25 and 42,786.77 is: 59,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,017.68 : 100,745.25 = 42,786.77 : x
  2. Step 2: Convert to fraction form
    73,017.68/100,745.25 = 42,786.77/x
  3. Step 3: Cross multiply
    73,017.68x = 100,745.25 × 42,786.77
  4. Step 4: Simplify right side
    73,017.68x = 4,310,563,840.34
  5. Step 5: Solve for x
    x = 4,310,563,840.34/73,017.68
  6. Step 6: Final answer
    x = 59,034.52

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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.