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Finding the Fourth Proportional to 86,031, 129,051.36 and 30,627

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Solution

The fourth proportional to 86,031, 129,051.36 and 30,627 is: 45,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,031 : 129,051.36 = 30,627 : x
  2. Step 2: Convert to fraction form
    86,031/129,051.36 = 30,627/x
  3. Step 3: Cross multiply
    86,031x = 129,051.36 × 30,627
  4. Step 4: Simplify right side
    86,031x = 3,952,456,002.72
  5. Step 5: Solve for x
    x = 3,952,456,002.72/86,031
  6. Step 6: Final answer
    x = 45,942.23

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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.