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Finding the Fourth Proportional to 55,119, 82,678.50 and 13,566

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Solution

The fourth proportional to 55,119, 82,678.50 and 13,566 is: 20,349

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,119 : 82,678.50 = 13,566 : x
  2. Step 2: Convert to fraction form
    55,119/82,678.50 = 13,566/x
  3. Step 3: Cross multiply
    55,119x = 82,678.50 × 13,566
  4. Step 4: Simplify right side
    55,119x = 1,121,616,531
  5. Step 5: Solve for x
    x = 1,121,616,531/55,119
  6. Step 6: Final answer
    x = 20,349

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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.