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Finding the Fourth Proportional to 49,289.40, 73,934.10 and 40,978.80

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Solution

The fourth proportional to 49,289.40, 73,934.10 and 40,978.80 is: 61,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,289.40 : 73,934.10 = 40,978.80 : x
  2. Step 2: Convert to fraction form
    49,289.40/73,934.10 = 40,978.80/x
  3. Step 3: Cross multiply
    49,289.40x = 73,934.10 × 40,978.80
  4. Step 4: Simplify right side
    49,289.40x = 3,029,730,697.08
  5. Step 5: Solve for x
    x = 3,029,730,697.08/49,289.40
  6. Step 6: Final answer
    x = 61,468.20

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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.