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Finding the Fourth Proportional to 70,451, 105,676.56 and 17,860.40

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Solution

The fourth proportional to 70,451, 105,676.56 and 17,860.40 is: 26,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,451 : 105,676.56 = 17,860.40 : x
  2. Step 2: Convert to fraction form
    70,451/105,676.56 = 17,860.40/x
  3. Step 3: Cross multiply
    70,451x = 105,676.56 × 17,860.40
  4. Step 4: Simplify right side
    70,451x = 1,887,425,632.22
  5. Step 5: Solve for x
    x = 1,887,425,632.22/70,451
  6. Step 6: Final answer
    x = 26,790.62

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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.