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Finding the Fourth Proportional to 55,446, 76,516.02 and 30,295.50

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Solution

The fourth proportional to 55,446, 76,516.02 and 30,295.50 is: 41,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,446 : 76,516.02 = 30,295.50 : x
  2. Step 2: Convert to fraction form
    55,446/76,516.02 = 30,295.50/x
  3. Step 3: Cross multiply
    55,446x = 76,516.02 × 30,295.50
  4. Step 4: Simplify right side
    55,446x = 2,318,091,083.91
  5. Step 5: Solve for x
    x = 2,318,091,083.91/55,446
  6. Step 6: Final answer
    x = 41,808.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.