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Finding the Fourth Proportional to 39,178, 58,760.06 and 17,825.76

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Solution

The fourth proportional to 39,178, 58,760.06 and 17,825.76 is: 26,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,178 : 58,760.06 = 17,825.76 : x
  2. Step 2: Convert to fraction form
    39,178/58,760.06 = 17,825.76/x
  3. Step 3: Cross multiply
    39,178x = 58,760.06 × 17,825.76
  4. Step 4: Simplify right side
    39,178x = 1,047,442,727.15
  5. Step 5: Solve for x
    x = 1,047,442,727.15/39,178
  6. Step 6: Final answer
    x = 26,735.48

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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.