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Finding the Fourth Proportional to 85,383.42, 117,823.03 and 47,136.79

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Solution

The fourth proportional to 85,383.42, 117,823.03 and 47,136.79 is: 65,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,383.42 : 117,823.03 = 47,136.79 : x
  2. Step 2: Convert to fraction form
    85,383.42/117,823.03 = 47,136.79/x
  3. Step 3: Cross multiply
    85,383.42x = 117,823.03 × 47,136.79
  4. Step 4: Simplify right side
    85,383.42x = 5,553,798,921.53
  5. Step 5: Solve for x
    x = 5,553,798,921.53/85,383.42
  6. Step 6: Final answer
    x = 65,045.41

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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.