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Finding the Fourth Proportional to 55,209.76, 82,813.88 and 13,656.80

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Solution

The fourth proportional to 55,209.76, 82,813.88 and 13,656.80 is: 20,485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,209.76 : 82,813.88 = 13,656.80 : x
  2. Step 2: Convert to fraction form
    55,209.76/82,813.88 = 13,656.80/x
  3. Step 3: Cross multiply
    55,209.76x = 82,813.88 × 13,656.80
  4. Step 4: Simplify right side
    55,209.76x = 1,130,972,596.38
  5. Step 5: Solve for x
    x = 1,130,972,596.38/55,209.76
  6. Step 6: Final answer
    x = 20,485.01

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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.