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Finding the Fourth Proportional to 85,493.92, 128,237.02 and 57,425.80

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Solution

The fourth proportional to 85,493.92, 128,237.02 and 57,425.80 is: 86,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,493.92 : 128,237.02 = 57,425.80 : x
  2. Step 2: Convert to fraction form
    85,493.92/128,237.02 = 57,425.80/x
  3. Step 3: Cross multiply
    85,493.92x = 128,237.02 × 57,425.80
  4. Step 4: Simplify right side
    85,493.92x = 7,364,113,463.12
  5. Step 5: Solve for x
    x = 7,364,113,463.12/85,493.92
  6. Step 6: Final answer
    x = 86,136.11

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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.