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Finding the Fourth Proportional to 208,653.81, 313,003.73 and 66,466.01

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Solution

The fourth proportional to 208,653.81, 313,003.73 and 66,466.01 is: 99,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,653.81 : 313,003.73 = 66,466.01 : x
  2. Step 2: Convert to fraction form
    208,653.81/313,003.73 = 66,466.01/x
  3. Step 3: Cross multiply
    208,653.81x = 313,003.73 × 66,466.01
  4. Step 4: Simplify right side
    208,653.81x = 20,804,109,048.22
  5. Step 5: Solve for x
    x = 20,804,109,048.22/208,653.81
  6. Step 6: Final answer
    x = 99,706.35

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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.