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Finding the Fourth Proportional to 81,970.76, 112,382.34 and 80,476.31

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Solution

The fourth proportional to 81,970.76, 112,382.34 and 80,476.31 is: 110,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,970.76 : 112,382.34 = 80,476.31 : x
  2. Step 2: Convert to fraction form
    81,970.76/112,382.34 = 80,476.31/x
  3. Step 3: Cross multiply
    81,970.76x = 112,382.34 × 80,476.31
  4. Step 4: Simplify right side
    81,970.76x = 9,044,116,032.37
  5. Step 5: Solve for x
    x = 9,044,116,032.37/81,970.76
  6. Step 6: Final answer
    x = 110,333.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.