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Finding the Fourth Proportional to 86,074.50, 129,111.78 and 23,745

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Solution

The fourth proportional to 86,074.50, 129,111.78 and 23,745 is: 35,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,074.50 : 129,111.78 = 23,745 : x
  2. Step 2: Convert to fraction form
    86,074.50/129,111.78 = 23,745/x
  3. Step 3: Cross multiply
    86,074.50x = 129,111.78 × 23,745
  4. Step 4: Simplify right side
    86,074.50x = 3,065,759,216.10
  5. Step 5: Solve for x
    x = 3,065,759,216.10/86,074.50
  6. Step 6: Final answer
    x = 35,617.51

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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.