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Finding the Fourth Proportional to 89,658.80, 134,449.32 and 30,478.60

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Solution

The fourth proportional to 89,658.80, 134,449.32 and 30,478.60 is: 45,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,658.80 : 134,449.32 = 30,478.60 : x
  2. Step 2: Convert to fraction form
    89,658.80/134,449.32 = 30,478.60/x
  3. Step 3: Cross multiply
    89,658.80x = 134,449.32 × 30,478.60
  4. Step 4: Simplify right side
    89,658.80x = 4,097,827,044.55
  5. Step 5: Solve for x
    x = 4,097,827,044.55/89,658.80
  6. Step 6: Final answer
    x = 45,704.68

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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.