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Finding the Fourth Proportional to 67,657.81, 101,501.67 and 20,270.98

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Solution

The fourth proportional to 67,657.81, 101,501.67 and 20,270.98 is: 30,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,657.81 : 101,501.67 = 20,270.98 : x
  2. Step 2: Convert to fraction form
    67,657.81/101,501.67 = 20,270.98/x
  3. Step 3: Cross multiply
    67,657.81x = 101,501.67 × 20,270.98
  4. Step 4: Simplify right side
    67,657.81x = 2,057,538,322.54
  5. Step 5: Solve for x
    x = 2,057,538,322.54/67,657.81
  6. Step 6: Final answer
    x = 30,410.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.