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Finding the Fourth Proportional to 86,077, 129,120.36 and 30,673

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Solution

The fourth proportional to 86,077, 129,120.36 and 30,673 is: 46,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,077 : 129,120.36 = 30,673 : x
  2. Step 2: Convert to fraction form
    86,077/129,120.36 = 30,673/x
  3. Step 3: Cross multiply
    86,077x = 129,120.36 × 30,673
  4. Step 4: Simplify right side
    86,077x = 3,960,508,802.28
  5. Step 5: Solve for x
    x = 3,960,508,802.28/86,077
  6. Step 6: Final answer
    x = 46,011.23

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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.