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Finding the Fourth Proportional to 80,784, 121,187.04 and 28,185.76

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Solution

The fourth proportional to 80,784, 121,187.04 and 28,185.76 is: 42,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,784 : 121,187.04 = 28,185.76 : x
  2. Step 2: Convert to fraction form
    80,784/121,187.04 = 28,185.76/x
  3. Step 3: Cross multiply
    80,784x = 121,187.04 × 28,185.76
  4. Step 4: Simplify right side
    80,784x = 3,415,748,824.55
  5. Step 5: Solve for x
    x = 3,415,748,824.55/80,784
  6. Step 6: Final answer
    x = 42,282.49

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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.