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Finding the Fourth Proportional to 70,511, 105,756.11 and 23,131.09

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Solution

The fourth proportional to 70,511, 105,756.11 and 23,131.09 is: 34,693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,511 : 105,756.11 = 23,131.09 : x
  2. Step 2: Convert to fraction form
    70,511/105,756.11 = 23,131.09/x
  3. Step 3: Cross multiply
    70,511x = 105,756.11 × 23,131.09
  4. Step 4: Simplify right side
    70,511x = 2,446,254,098.46
  5. Step 5: Solve for x
    x = 2,446,254,098.46/70,511
  6. Step 6: Final answer
    x = 34,693.23

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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.