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Finding the Fourth Proportional to 81,770.96, 112,890.44 and 53,116.40

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Solution

The fourth proportional to 81,770.96, 112,890.44 and 53,116.40 is: 73,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,770.96 : 112,890.44 = 53,116.40 : x
  2. Step 2: Convert to fraction form
    81,770.96/112,890.44 = 53,116.40/x
  3. Step 3: Cross multiply
    81,770.96x = 112,890.44 × 53,116.40
  4. Step 4: Simplify right side
    81,770.96x = 5,996,333,767.22
  5. Step 5: Solve for x
    x = 5,996,333,767.22/81,770.96
  6. Step 6: Final answer
    x = 73,330.85

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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.