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Finding the Fourth Proportional to 81,136, 111,967.68 and 45,808

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Solution

The fourth proportional to 81,136, 111,967.68 and 45,808 is: 63,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,136 : 111,967.68 = 45,808 : x
  2. Step 2: Convert to fraction form
    81,136/111,967.68 = 45,808/x
  3. Step 3: Cross multiply
    81,136x = 111,967.68 × 45,808
  4. Step 4: Simplify right side
    81,136x = 5,129,015,485.44
  5. Step 5: Solve for x
    x = 5,129,015,485.44/81,136
  6. Step 6: Final answer
    x = 63,215.04

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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.