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Finding the Fourth Proportional to 55,136.96, 76,064.64 and 32,768

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Solution

The fourth proportional to 55,136.96, 76,064.64 and 32,768 is: 45,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,136.96 : 76,064.64 = 32,768 : x
  2. Step 2: Convert to fraction form
    55,136.96/76,064.64 = 32,768/x
  3. Step 3: Cross multiply
    55,136.96x = 76,064.64 × 32,768
  4. Step 4: Simplify right side
    55,136.96x = 2,492,486,123.52
  5. Step 5: Solve for x
    x = 2,492,486,123.52/55,136.96
  6. Step 6: Final answer
    x = 45,205.36

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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.