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Finding the Fourth Proportional to 207,873.66, 286,868.27 and 126,178.30

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Solution

The fourth proportional to 207,873.66, 286,868.27 and 126,178.30 is: 174,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,873.66 : 286,868.27 = 126,178.30 : x
  2. Step 2: Convert to fraction form
    207,873.66/286,868.27 = 126,178.30/x
  3. Step 3: Cross multiply
    207,873.66x = 286,868.27 × 126,178.30
  4. Step 4: Simplify right side
    207,873.66x = 36,196,550,632.54
  5. Step 5: Solve for x
    x = 36,196,550,632.54/207,873.66
  6. Step 6: Final answer
    x = 174,127.64

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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.