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Finding the Fourth Proportional to 55,692, 83,542.86 and 14,139

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Solution

The fourth proportional to 55,692, 83,542.86 and 14,139 is: 21,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,692 : 83,542.86 = 14,139 : x
  2. Step 2: Convert to fraction form
    55,692/83,542.86 = 14,139/x
  3. Step 3: Cross multiply
    55,692x = 83,542.86 × 14,139
  4. Step 4: Simplify right side
    55,692x = 1,181,212,497.54
  5. Step 5: Solve for x
    x = 1,181,212,497.54/55,692
  6. Step 6: Final answer
    x = 21,209.73

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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.