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Finding the Fourth Proportional to 42,661.38, 63,971.02 and 13,072.08

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Solution

The fourth proportional to 42,661.38, 63,971.02 and 13,072.08 is: 19,601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,661.38 : 63,971.02 = 13,072.08 : x
  2. Step 2: Convert to fraction form
    42,661.38/63,971.02 = 13,072.08/x
  3. Step 3: Cross multiply
    42,661.38x = 63,971.02 × 13,072.08
  4. Step 4: Simplify right side
    42,661.38x = 836,234,473.82
  5. Step 5: Solve for x
    x = 836,234,473.82/42,661.38
  6. Step 6: Final answer
    x = 19,601.67

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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.