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Finding the Fourth Proportional to 81,671, 112,356.06 and 78,171.80

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Solution

The fourth proportional to 81,671, 112,356.06 and 78,171.80 is: 107,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,671 : 112,356.06 = 78,171.80 : x
  2. Step 2: Convert to fraction form
    81,671/112,356.06 = 78,171.80/x
  3. Step 3: Cross multiply
    81,671x = 112,356.06 × 78,171.80
  4. Step 4: Simplify right side
    81,671x = 8,783,075,451.11
  5. Step 5: Solve for x
    x = 8,783,075,451.11/81,671
  6. Step 6: Final answer
    x = 107,542.16

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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.