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Finding the Fourth Proportional to 81,051.80, 111,849.62 and 45,245.14

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Solution

The fourth proportional to 81,051.80, 111,849.62 and 45,245.14 is: 62,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,051.80 : 111,849.62 = 45,245.14 : x
  2. Step 2: Convert to fraction form
    81,051.80/111,849.62 = 45,245.14/x
  3. Step 3: Cross multiply
    81,051.80x = 111,849.62 × 45,245.14
  4. Step 4: Simplify right side
    81,051.80x = 5,060,651,715.85
  5. Step 5: Solve for x
    x = 5,060,651,715.85/81,051.80
  6. Step 6: Final answer
    x = 62,437.25

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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.