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Finding the Fourth Proportional to 85,101.41, 127,652.81 and 28,954.28

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Solution

The fourth proportional to 85,101.41, 127,652.81 and 28,954.28 is: 43,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,101.41 : 127,652.81 = 28,954.28 : x
  2. Step 2: Convert to fraction form
    85,101.41/127,652.81 = 28,954.28/x
  3. Step 3: Cross multiply
    85,101.41x = 127,652.81 × 28,954.28
  4. Step 4: Simplify right side
    85,101.41x = 3,696,095,377.89
  5. Step 5: Solve for x
    x = 3,696,095,377.89/85,101.41
  6. Step 6: Final answer
    x = 43,431.66

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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.