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Finding the Fourth Proportional to 65,768.81, 98,667.81 and 30,689.33

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Solution

The fourth proportional to 65,768.81, 98,667.81 and 30,689.33 is: 46,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,768.81 : 98,667.81 = 30,689.33 : x
  2. Step 2: Convert to fraction form
    65,768.81/98,667.81 = 30,689.33/x
  3. Step 3: Cross multiply
    65,768.81x = 98,667.81 × 30,689.33
  4. Step 4: Simplify right side
    65,768.81x = 3,028,048,488.13
  5. Step 5: Solve for x
    x = 3,028,048,488.13/65,768.81
  6. Step 6: Final answer
    x = 46,040.80

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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.