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Finding the Fourth Proportional to 55,155, 82,732.56 and 13,602

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Solution

The fourth proportional to 55,155, 82,732.56 and 13,602 is: 20,403.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,155 : 82,732.56 = 13,602 : x
  2. Step 2: Convert to fraction form
    55,155/82,732.56 = 13,602/x
  3. Step 3: Cross multiply
    55,155x = 82,732.56 × 13,602
  4. Step 4: Simplify right side
    55,155x = 1,125,328,281.12
  5. Step 5: Solve for x
    x = 1,125,328,281.12/55,155
  6. Step 6: Final answer
    x = 20,403.01

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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.