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Finding the Fourth Proportional to 54,851.60, 82,277.40 and 15,415.40

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Solution

The fourth proportional to 54,851.60, 82,277.40 and 15,415.40 is: 23,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,851.60 : 82,277.40 = 15,415.40 : x
  2. Step 2: Convert to fraction form
    54,851.60/82,277.40 = 15,415.40/x
  3. Step 3: Cross multiply
    54,851.60x = 82,277.40 × 15,415.40
  4. Step 4: Simplify right side
    54,851.60x = 1,268,339,031.96
  5. Step 5: Solve for x
    x = 1,268,339,031.96/54,851.60
  6. Step 6: Final answer
    x = 23,123.10

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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.