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Finding the Fourth Proportional to 49,658.90, 74,489.16 and 12,219.08

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Solution

The fourth proportional to 49,658.90, 74,489.16 and 12,219.08 is: 18,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,658.90 : 74,489.16 = 12,219.08 : x
  2. Step 2: Convert to fraction form
    49,658.90/74,489.16 = 12,219.08/x
  3. Step 3: Cross multiply
    49,658.90x = 74,489.16 × 12,219.08
  4. Step 4: Simplify right side
    49,658.90x = 910,189,005.17
  5. Step 5: Solve for x
    x = 910,189,005.17/49,658.90
  6. Step 6: Final answer
    x = 18,328.82

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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.