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Finding the Fourth Proportional to 77,415.88, 116,089.24 and 26,819.60

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Solution

The fourth proportional to 77,415.88, 116,089.24 and 26,819.60 is: 40,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,415.88 : 116,089.24 = 26,819.60 : x
  2. Step 2: Convert to fraction form
    77,415.88/116,089.24 = 26,819.60/x
  3. Step 3: Cross multiply
    77,415.88x = 116,089.24 × 26,819.60
  4. Step 4: Simplify right side
    77,415.88x = 3,113,466,981.10
  5. Step 5: Solve for x
    x = 3,113,466,981.10/77,415.88
  6. Step 6: Final answer
    x = 40,217.42

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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.