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Finding the Fourth Proportional to 135,493.14, 186,975.21 and 75,064.74

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Solution

The fourth proportional to 135,493.14, 186,975.21 and 75,064.74 is: 103,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,493.14 : 186,975.21 = 75,064.74 : x
  2. Step 2: Convert to fraction form
    135,493.14/186,975.21 = 75,064.74/x
  3. Step 3: Cross multiply
    135,493.14x = 186,975.21 × 75,064.74
  4. Step 4: Simplify right side
    135,493.14x = 14,035,245,525.10
  5. Step 5: Solve for x
    x = 14,035,245,525.10/135,493.14
  6. Step 6: Final answer
    x = 103,586.39

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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.