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Finding the Fourth Proportional to 86,561.90, 129,810.45 and 30,380.30

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Solution

The fourth proportional to 86,561.90, 129,810.45 and 30,380.30 is: 45,559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,561.90 : 129,810.45 = 30,380.30 : x
  2. Step 2: Convert to fraction form
    86,561.90/129,810.45 = 30,380.30/x
  3. Step 3: Cross multiply
    86,561.90x = 129,810.45 × 30,380.30
  4. Step 4: Simplify right side
    86,561.90x = 3,943,680,414.14
  5. Step 5: Solve for x
    x = 3,943,680,414.14/86,561.90
  6. Step 6: Final answer
    x = 45,559.08

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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.