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Finding the Fourth Proportional to 81,213, 112,104.48 and 61,128

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Solution

The fourth proportional to 81,213, 112,104.48 and 61,128 is: 84,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,213 : 112,104.48 = 61,128 : x
  2. Step 2: Convert to fraction form
    81,213/112,104.48 = 61,128/x
  3. Step 3: Cross multiply
    81,213x = 112,104.48 × 61,128
  4. Step 4: Simplify right side
    81,213x = 6,852,722,653.44
  5. Step 5: Solve for x
    x = 6,852,722,653.44/81,213
  6. Step 6: Final answer
    x = 84,379.63

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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.