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Finding the Fourth Proportional to 89,819.78, 134,813.10 and 45,477.95

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Solution

The fourth proportional to 89,819.78, 134,813.10 and 45,477.95 is: 68,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,819.78 : 134,813.10 = 45,477.95 : x
  2. Step 2: Convert to fraction form
    89,819.78/134,813.10 = 45,477.95/x
  3. Step 3: Cross multiply
    89,819.78x = 134,813.10 × 45,477.95
  4. Step 4: Simplify right side
    89,819.78x = 6,131,023,421.15
  5. Step 5: Solve for x
    x = 6,131,023,421.15/89,819.78
  6. Step 6: Final answer
    x = 68,259.17

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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.