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Finding the Fourth Proportional to 103,655.44, 143,065.92 and 67,778.80

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Solution

The fourth proportional to 103,655.44, 143,065.92 and 67,778.80 is: 93,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,655.44 : 143,065.92 = 67,778.80 : x
  2. Step 2: Convert to fraction form
    103,655.44/143,065.92 = 67,778.80/x
  3. Step 3: Cross multiply
    103,655.44x = 143,065.92 × 67,778.80
  4. Step 4: Simplify right side
    103,655.44x = 9,696,836,378.50
  5. Step 5: Solve for x
    x = 9,696,836,378.50/103,655.44
  6. Step 6: Final answer
    x = 93,548.75

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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.