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Finding the Fourth Proportional to 10,129,266.28, 13,978,428.42 and 5,546,014.12

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Solution

The fourth proportional to 10,129,266.28, 13,978,428.42 and 5,546,014.12 is: 7,653,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129,266.28 : 13,978,428.42 = 5,546,014.12 : x
  2. Step 2: Convert to fraction form
    10,129,266.28/13,978,428.42 = 5,546,014.12/x
  3. Step 3: Cross multiply
    10,129,266.28x = 13,978,428.42 × 5,546,014.12
  4. Step 4: Simplify right side
    10,129,266.28x = 77,524,561,392,729.30
  5. Step 5: Solve for x
    x = 77,524,561,392,729.30/10,129,266.28
  6. Step 6: Final answer
    x = 7,653,521.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.