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Finding the Fourth Proportional to 65,667.56, 98,569.74 and 30,641

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Solution

The fourth proportional to 65,667.56, 98,569.74 and 30,641 is: 45,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,667.56 : 98,569.74 = 30,641 : x
  2. Step 2: Convert to fraction form
    65,667.56/98,569.74 = 30,641/x
  3. Step 3: Cross multiply
    65,667.56x = 98,569.74 × 30,641
  4. Step 4: Simplify right side
    65,667.56x = 3,020,275,403.34
  5. Step 5: Solve for x
    x = 3,020,275,403.34/65,667.56
  6. Step 6: Final answer
    x = 45,993.42

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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.