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Finding the Fourth Proportional to 25,978,412.80, 38,973,148.80 and 8,029,331.20

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Solution

The fourth proportional to 25,978,412.80, 38,973,148.80 and 8,029,331.20 is: 12,045,705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978,412.80 : 38,973,148.80 = 8,029,331.20 : x
  2. Step 2: Convert to fraction form
    25,978,412.80/38,973,148.80 = 8,029,331.20/x
  3. Step 3: Cross multiply
    25,978,412.80x = 38,973,148.80 × 8,029,331.20
  4. Step 4: Simplify right side
    25,978,412.80x = 312,928,319,622,082.56
  5. Step 5: Solve for x
    x = 312,928,319,622,082.56/25,978,412.80
  6. Step 6: Final answer
    x = 12,045,705.87

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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.