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Finding the Fourth Proportional to 89,178.42, 123,078.84 and 55,197.84

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Solution

The fourth proportional to 89,178.42, 123,078.84 and 55,197.84 is: 76,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,178.42 : 123,078.84 = 55,197.84 : x
  2. Step 2: Convert to fraction form
    89,178.42/123,078.84 = 55,197.84/x
  3. Step 3: Cross multiply
    89,178.42x = 123,078.84 × 55,197.84
  4. Step 4: Simplify right side
    89,178.42x = 6,793,686,117.71
  5. Step 5: Solve for x
    x = 6,793,686,117.71/89,178.42
  6. Step 6: Final answer
    x = 76,180.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.