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Finding the Fourth Proportional to 85,328.64, 127,992 and 38,548.80

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Solution

The fourth proportional to 85,328.64, 127,992 and 38,548.80 is: 57,822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,328.64 : 127,992 = 38,548.80 : x
  2. Step 2: Convert to fraction form
    85,328.64/127,992 = 38,548.80/x
  3. Step 3: Cross multiply
    85,328.64x = 127,992 × 38,548.80
  4. Step 4: Simplify right side
    85,328.64x = 4,933,938,009.60
  5. Step 5: Solve for x
    x = 4,933,938,009.60/85,328.64
  6. Step 6: Final answer
    x = 57,822.77

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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.