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Finding the Fourth Proportional to 70,956, 106,431.03 and 17,648.01

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Solution

The fourth proportional to 70,956, 106,431.03 and 17,648.01 is: 26,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,956 : 106,431.03 = 17,648.01 : x
  2. Step 2: Convert to fraction form
    70,956/106,431.03 = 17,648.01/x
  3. Step 3: Cross multiply
    70,956x = 106,431.03 × 17,648.01
  4. Step 4: Simplify right side
    70,956x = 1,878,295,881.75
  5. Step 5: Solve for x
    x = 1,878,295,881.75/70,956
  6. Step 6: Final answer
    x = 26,471.28

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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.