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Finding the Fourth Proportional to 84,620.93, 126,729.62 and 49,007

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Solution

The fourth proportional to 84,620.93, 126,729.62 and 49,007 is: 73,393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,620.93 : 126,729.62 = 49,007 : x
  2. Step 2: Convert to fraction form
    84,620.93/126,729.62 = 49,007/x
  3. Step 3: Cross multiply
    84,620.93x = 126,729.62 × 49,007
  4. Step 4: Simplify right side
    84,620.93x = 6,210,638,487.34
  5. Step 5: Solve for x
    x = 6,210,638,487.34/84,620.93
  6. Step 6: Final answer
    x = 73,393.64

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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.