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Finding the Fourth Proportional to 201,775.66, 278,446.35 and 126,365.74

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Solution

The fourth proportional to 201,775.66, 278,446.35 and 126,365.74 is: 174,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,775.66 : 278,446.35 = 126,365.74 : x
  2. Step 2: Convert to fraction form
    201,775.66/278,446.35 = 126,365.74/x
  3. Step 3: Cross multiply
    201,775.66x = 278,446.35 × 126,365.74
  4. Step 4: Simplify right side
    201,775.66x = 35,186,079,068.05
  5. Step 5: Solve for x
    x = 35,186,079,068.05/201,775.66
  6. Step 6: Final answer
    x = 174,382.18

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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.