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Finding the Fourth Proportional to 89,835.80, 134,734.80 and 45,420.80

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Solution

The fourth proportional to 89,835.80, 134,734.80 and 45,420.80 is: 68,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,835.80 : 134,734.80 = 45,420.80 : x
  2. Step 2: Convert to fraction form
    89,835.80/134,734.80 = 45,420.80/x
  3. Step 3: Cross multiply
    89,835.80x = 134,734.80 × 45,420.80
  4. Step 4: Simplify right side
    89,835.80x = 6,119,762,403.84
  5. Step 5: Solve for x
    x = 6,119,762,403.84/89,835.80
  6. Step 6: Final answer
    x = 68,121.64

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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.