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Finding the Fourth Proportional to 85,128.96, 127,683.84 and 22,804.48

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Solution

The fourth proportional to 85,128.96, 127,683.84 and 22,804.48 is: 34,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,128.96 : 127,683.84 = 22,804.48 : x
  2. Step 2: Convert to fraction form
    85,128.96/127,683.84 = 22,804.48/x
  3. Step 3: Cross multiply
    85,128.96x = 127,683.84 × 22,804.48
  4. Step 4: Simplify right side
    85,128.96x = 2,911,763,575.60
  5. Step 5: Solve for x
    x = 2,911,763,575.60/85,128.96
  6. Step 6: Final answer
    x = 34,204.15

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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.