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Finding the Fourth Proportional to 56,635, 84,991.50 and 19,699

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Solution

The fourth proportional to 56,635, 84,991.50 and 19,699 is: 29,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,635 : 84,991.50 = 19,699 : x
  2. Step 2: Convert to fraction form
    56,635/84,991.50 = 19,699/x
  3. Step 3: Cross multiply
    56,635x = 84,991.50 × 19,699
  4. Step 4: Simplify right side
    56,635x = 1,674,247,558.50
  5. Step 5: Solve for x
    x = 1,674,247,558.50/56,635
  6. Step 6: Final answer
    x = 29,562.07

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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.