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Finding the Fourth Proportional to 81,754.46, 112,750.90 and 53,045.84

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Solution

The fourth proportional to 81,754.46, 112,750.90 and 53,045.84 is: 73,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,754.46 : 112,750.90 = 53,045.84 : x
  2. Step 2: Convert to fraction form
    81,754.46/112,750.90 = 53,045.84/x
  3. Step 3: Cross multiply
    81,754.46x = 112,750.90 × 53,045.84
  4. Step 4: Simplify right side
    81,754.46x = 5,980,965,770.12
  5. Step 5: Solve for x
    x = 5,980,965,770.12/81,754.46
  6. Step 6: Final answer
    x = 73,157.67

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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.