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Finding the Fourth Proportional to 86,202, 129,303.03 and 27,042.30

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Solution

The fourth proportional to 86,202, 129,303.03 and 27,042.30 is: 40,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,202 : 129,303.03 = 27,042.30 : x
  2. Step 2: Convert to fraction form
    86,202/129,303.03 = 27,042.30/x
  3. Step 3: Cross multiply
    86,202x = 129,303.03 × 27,042.30
  4. Step 4: Simplify right side
    86,202x = 3,496,651,328.17
  5. Step 5: Solve for x
    x = 3,496,651,328.17/86,202
  6. Step 6: Final answer
    x = 40,563.46

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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.