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Finding the Fourth Proportional to 121,616, 182,274.24 and 86,364.80

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Solution

The fourth proportional to 121,616, 182,274.24 and 86,364.80 is: 129,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,616 : 182,274.24 = 86,364.80 : x
  2. Step 2: Convert to fraction form
    121,616/182,274.24 = 86,364.80/x
  3. Step 3: Cross multiply
    121,616x = 182,274.24 × 86,364.80
  4. Step 4: Simplify right side
    121,616x = 15,742,078,282.75
  5. Step 5: Solve for x
    x = 15,742,078,282.75/121,616
  6. Step 6: Final answer
    x = 129,440.85

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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.