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Finding the Fourth Proportional to 78,040, 107,660.88 and 45,758.14

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Solution

The fourth proportional to 78,040, 107,660.88 and 45,758.14 is: 63,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,040 : 107,660.88 = 45,758.14 : x
  2. Step 2: Convert to fraction form
    78,040/107,660.88 = 45,758.14/x
  3. Step 3: Cross multiply
    78,040x = 107,660.88 × 45,758.14
  4. Step 4: Simplify right side
    78,040x = 4,926,361,619.56
  5. Step 5: Solve for x
    x = 4,926,361,619.56/78,040
  6. Step 6: Final answer
    x = 63,126.11

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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.