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Finding the Fourth Proportional to 49,396.48, 74,098.48 and 21,317.20

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Solution

The fourth proportional to 49,396.48, 74,098.48 and 21,317.20 is: 31,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,396.48 : 74,098.48 = 21,317.20 : x
  2. Step 2: Convert to fraction form
    49,396.48/74,098.48 = 21,317.20/x
  3. Step 3: Cross multiply
    49,396.48x = 74,098.48 × 21,317.20
  4. Step 4: Simplify right side
    49,396.48x = 1,579,572,117.86
  5. Step 5: Solve for x
    x = 1,579,572,117.86/49,396.48
  6. Step 6: Final answer
    x = 31,977.42

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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.