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Finding the Fourth Proportional to 55,117, 82,675.50 and 13,564

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Solution

The fourth proportional to 55,117, 82,675.50 and 13,564 is: 20,346

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,117 : 82,675.50 = 13,564 : x
  2. Step 2: Convert to fraction form
    55,117/82,675.50 = 13,564/x
  3. Step 3: Cross multiply
    55,117x = 82,675.50 × 13,564
  4. Step 4: Simplify right side
    55,117x = 1,121,410,482
  5. Step 5: Solve for x
    x = 1,121,410,482/55,117
  6. Step 6: Final answer
    x = 20,346

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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.