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Finding the Fourth Proportional to 78,041, 107,662.26 and 45,759.14

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Solution

The fourth proportional to 78,041, 107,662.26 and 45,759.14 is: 63,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,041 : 107,662.26 = 45,759.14 : x
  2. Step 2: Convert to fraction form
    78,041/107,662.26 = 45,759.14/x
  3. Step 3: Cross multiply
    78,041x = 107,662.26 × 45,759.14
  4. Step 4: Simplify right side
    78,041x = 4,926,532,428.06
  5. Step 5: Solve for x
    x = 4,926,532,428.06/78,041
  6. Step 6: Final answer
    x = 63,127.49

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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.