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Finding the Fourth Proportional to 86,409, 129,561.66 and 30,218.28

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Solution

The fourth proportional to 86,409, 129,561.66 and 30,218.28 is: 45,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,409 : 129,561.66 = 30,218.28 : x
  2. Step 2: Convert to fraction form
    86,409/129,561.66 = 30,218.28/x
  3. Step 3: Cross multiply
    86,409x = 129,561.66 × 30,218.28
  4. Step 4: Simplify right side
    86,409x = 3,915,130,519.14
  5. Step 5: Solve for x
    x = 3,915,130,519.14/86,409
  6. Step 6: Final answer
    x = 45,309.29

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1.5x scale

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.