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Finding the Fourth Proportional to 49,333.72, 73,981.02 and 21,255.88

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Solution

The fourth proportional to 49,333.72, 73,981.02 and 21,255.88 is: 31,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,333.72 : 73,981.02 = 21,255.88 : x
  2. Step 2: Convert to fraction form
    49,333.72/73,981.02 = 21,255.88/x
  3. Step 3: Cross multiply
    49,333.72x = 73,981.02 × 21,255.88
  4. Step 4: Simplify right side
    49,333.72x = 1,572,531,683.40
  5. Step 5: Solve for x
    x = 1,572,531,683.40/49,333.72
  6. Step 6: Final answer
    x = 31,875.39

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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.