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Finding the Fourth Proportional to 55,872, 83,813.04 and 14,319.36

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Solution

The fourth proportional to 55,872, 83,813.04 and 14,319.36 is: 21,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,872 : 83,813.04 = 14,319.36 : x
  2. Step 2: Convert to fraction form
    55,872/83,813.04 = 14,319.36/x
  3. Step 3: Cross multiply
    55,872x = 83,813.04 × 14,319.36
  4. Step 4: Simplify right side
    55,872x = 1,200,149,092.45
  5. Step 5: Solve for x
    x = 1,200,149,092.45/55,872
  6. Step 6: Final answer
    x = 21,480.33

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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.