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Finding the Fourth Proportional to 55,431, 83,147.22 and 18,495

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Solution

The fourth proportional to 55,431, 83,147.22 and 18,495 is: 27,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,431 : 83,147.22 = 18,495 : x
  2. Step 2: Convert to fraction form
    55,431/83,147.22 = 18,495/x
  3. Step 3: Cross multiply
    55,431x = 83,147.22 × 18,495
  4. Step 4: Simplify right side
    55,431x = 1,537,807,833.90
  5. Step 5: Solve for x
    x = 1,537,807,833.90/55,431
  6. Step 6: Final answer
    x = 27,742.74

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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.