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Finding the Fourth Proportional to 86,121, 129,186.45 and 30,717

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Solution

The fourth proportional to 86,121, 129,186.45 and 30,717 is: 46,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,121 : 129,186.45 = 30,717 : x
  2. Step 2: Convert to fraction form
    86,121/129,186.45 = 30,717/x
  3. Step 3: Cross multiply
    86,121x = 129,186.45 × 30,717
  4. Step 4: Simplify right side
    86,121x = 3,968,220,184.65
  5. Step 5: Solve for x
    x = 3,968,220,184.65/86,121
  6. Step 6: Final answer
    x = 46,077.27

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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.