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Finding the Fourth Proportional to 135,613.66, 187,157.89 and 75,203.22

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Solution

The fourth proportional to 135,613.66, 187,157.89 and 75,203.22 is: 103,786.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,613.66 : 187,157.89 = 75,203.22 : x
  2. Step 2: Convert to fraction form
    135,613.66/187,157.89 = 75,203.22/x
  3. Step 3: Cross multiply
    135,613.66x = 187,157.89 × 75,203.22
  4. Step 4: Simplify right side
    135,613.66x = 14,074,875,976.41
  5. Step 5: Solve for x
    x = 14,074,875,976.41/135,613.66
  6. Step 6: Final answer
    x = 103,786.57

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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.