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Finding the Fourth Proportional to 75,820, 104,629.36 and 43,986.72

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Solution

The fourth proportional to 75,820, 104,629.36 and 43,986.72 is: 60,700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,820 : 104,629.36 = 43,986.72 : x
  2. Step 2: Convert to fraction form
    75,820/104,629.36 = 43,986.72/x
  3. Step 3: Cross multiply
    75,820x = 104,629.36 × 43,986.72
  4. Step 4: Simplify right side
    75,820x = 4,602,302,362.10
  5. Step 5: Solve for x
    x = 4,602,302,362.10/75,820
  6. Step 6: Final answer
    x = 60,700.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.