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Finding the Fourth Proportional to 121,561.84, 182,274.36 and 83,655.64

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Solution

The fourth proportional to 121,561.84, 182,274.36 and 83,655.64 is: 125,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,561.84 : 182,274.36 = 83,655.64 : x
  2. Step 2: Convert to fraction form
    121,561.84/182,274.36 = 83,655.64/x
  3. Step 3: Cross multiply
    121,561.84x = 182,274.36 × 83,655.64
  4. Step 4: Simplify right side
    121,561.84x = 15,248,278,241.39
  5. Step 5: Solve for x
    x = 15,248,278,241.39/121,561.84
  6. Step 6: Final answer
    x = 125,436.39

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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.