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Finding the Fourth Proportional to 84,872.18, 117,119.04 and 47,144

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Solution

The fourth proportional to 84,872.18, 117,119.04 and 47,144 is: 65,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,872.18 : 117,119.04 = 47,144 : x
  2. Step 2: Convert to fraction form
    84,872.18/117,119.04 = 47,144/x
  3. Step 3: Cross multiply
    84,872.18x = 117,119.04 × 47,144
  4. Step 4: Simplify right side
    84,872.18x = 5,521,460,021.76
  5. Step 5: Solve for x
    x = 5,521,460,021.76/84,872.18
  6. Step 6: Final answer
    x = 65,056.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.