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Finding the Fourth Proportional to 81,853.60, 112,803.60 and 71,716

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Solution

The fourth proportional to 81,853.60, 112,803.60 and 71,716 is: 98,832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,853.60 : 112,803.60 = 71,716 : x
  2. Step 2: Convert to fraction form
    81,853.60/112,803.60 = 71,716/x
  3. Step 3: Cross multiply
    81,853.60x = 112,803.60 × 71,716
  4. Step 4: Simplify right side
    81,853.60x = 8,089,822,977.60
  5. Step 5: Solve for x
    x = 8,089,822,977.60/81,853.60
  6. Step 6: Final answer
    x = 98,832.83

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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.