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Finding the Fourth Proportional to 78,582.56, 117,880.82 and 22,421.61

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Solution

The fourth proportional to 78,582.56, 117,880.82 and 22,421.61 is: 33,634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,582.56 : 117,880.82 = 22,421.61 : x
  2. Step 2: Convert to fraction form
    78,582.56/117,880.82 = 22,421.61/x
  3. Step 3: Cross multiply
    78,582.56x = 117,880.82 × 22,421.61
  4. Step 4: Simplify right side
    78,582.56x = 2,643,077,744.49
  5. Step 5: Solve for x
    x = 2,643,077,744.49/78,582.56
  6. Step 6: Final answer
    x = 33,634.41

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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.