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Finding the Fourth Proportional to 146,186.68, 201,735.42 and 81,656.80

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Solution

The fourth proportional to 146,186.68, 201,735.42 and 81,656.80 is: 112,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,186.68 : 201,735.42 = 81,656.80 : x
  2. Step 2: Convert to fraction form
    146,186.68/201,735.42 = 81,656.80/x
  3. Step 3: Cross multiply
    146,186.68x = 201,735.42 × 81,656.80
  4. Step 4: Simplify right side
    146,186.68x = 16,473,068,843.86
  5. Step 5: Solve for x
    x = 16,473,068,843.86/146,186.68
  6. Step 6: Final answer
    x = 112,685.16

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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.