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Finding the Fourth Proportional to 75,405.78, 103,993.20 and 57,457.80

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Solution

The fourth proportional to 75,405.78, 103,993.20 and 57,457.80 is: 79,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,405.78 : 103,993.20 = 57,457.80 : x
  2. Step 2: Convert to fraction form
    75,405.78/103,993.20 = 57,457.80/x
  3. Step 3: Cross multiply
    75,405.78x = 103,993.20 × 57,457.80
  4. Step 4: Simplify right side
    75,405.78x = 5,975,220,486.96
  5. Step 5: Solve for x
    x = 5,975,220,486.96/75,405.78
  6. Step 6: Final answer
    x = 79,240.88

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1.5x scale

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.