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Finding the Fourth Proportional to 49,018, 73,410 and 28,197.76

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Solution

The fourth proportional to 49,018, 73,410 and 28,197.76 is: 42,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,018 : 73,410 = 28,197.76 : x
  2. Step 2: Convert to fraction form
    49,018/73,410 = 28,197.76/x
  3. Step 3: Cross multiply
    49,018x = 73,410 × 28,197.76
  4. Step 4: Simplify right side
    49,018x = 2,069,997,561.60
  5. Step 5: Solve for x
    x = 2,069,997,561.60/49,018
  6. Step 6: Final answer
    x = 42,229.34

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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.