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Finding the Fourth Proportional to 54,671.40, 82,007.10 and 31,281.30

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Solution

The fourth proportional to 54,671.40, 82,007.10 and 31,281.30 is: 46,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,671.40 : 82,007.10 = 31,281.30 : x
  2. Step 2: Convert to fraction form
    54,671.40/82,007.10 = 31,281.30/x
  3. Step 3: Cross multiply
    54,671.40x = 82,007.10 × 31,281.30
  4. Step 4: Simplify right side
    54,671.40x = 2,565,288,697.23
  5. Step 5: Solve for x
    x = 2,565,288,697.23/54,671.40
  6. Step 6: Final answer
    x = 46,921.95

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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.