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Finding the Fourth Proportional to 84,969, 127,512 and 29,565

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Solution

The fourth proportional to 84,969, 127,512 and 29,565 is: 44,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,969 : 127,512 = 29,565 : x
  2. Step 2: Convert to fraction form
    84,969/127,512 = 29,565/x
  3. Step 3: Cross multiply
    84,969x = 127,512 × 29,565
  4. Step 4: Simplify right side
    84,969x = 3,769,892,280
  5. Step 5: Solve for x
    x = 3,769,892,280/84,969
  6. Step 6: Final answer
    x = 44,367.86

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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.