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Finding the Fourth Proportional to 86,045, 129,072.36 and 30,641

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Solution

The fourth proportional to 86,045, 129,072.36 and 30,641 is: 45,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,045 : 129,072.36 = 30,641 : x
  2. Step 2: Convert to fraction form
    86,045/129,072.36 = 30,641/x
  3. Step 3: Cross multiply
    86,045x = 129,072.36 × 30,641
  4. Step 4: Simplify right side
    86,045x = 3,954,906,182.76
  5. Step 5: Solve for x
    x = 3,954,906,182.76/86,045
  6. Step 6: Final answer
    x = 45,963.23

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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.