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Finding the Fourth Proportional to 120,878, 181,274.09 and 35,465.02

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Solution

The fourth proportional to 120,878, 181,274.09 and 35,465.02 is: 53,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,878 : 181,274.09 = 35,465.02 : x
  2. Step 2: Convert to fraction form
    120,878/181,274.09 = 35,465.02/x
  3. Step 3: Cross multiply
    120,878x = 181,274.09 × 35,465.02
  4. Step 4: Simplify right side
    120,878x = 6,428,889,227.33
  5. Step 5: Solve for x
    x = 6,428,889,227.33/120,878
  6. Step 6: Final answer
    x = 53,184.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.