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Finding the Fourth Proportional to 207,909, 286,914.20 and 112,415.44

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Solution

The fourth proportional to 207,909, 286,914.20 and 112,415.44 is: 155,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,909 : 286,914.20 = 112,415.44 : x
  2. Step 2: Convert to fraction form
    207,909/286,914.20 = 112,415.44/x
  3. Step 3: Cross multiply
    207,909x = 286,914.20 × 112,415.44
  4. Step 4: Simplify right side
    207,909x = 32,253,586,035.25
  5. Step 5: Solve for x
    x = 32,253,586,035.25/207,909
  6. Step 6: Final answer
    x = 155,133.19

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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.