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Finding the Fourth Proportional to 54,712.40, 82,068.60 and 28,468.40

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Solution

The fourth proportional to 54,712.40, 82,068.60 and 28,468.40 is: 42,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,712.40 : 82,068.60 = 28,468.40 : x
  2. Step 2: Convert to fraction form
    54,712.40/82,068.60 = 28,468.40/x
  3. Step 3: Cross multiply
    54,712.40x = 82,068.60 × 28,468.40
  4. Step 4: Simplify right side
    54,712.40x = 2,336,361,732.24
  5. Step 5: Solve for x
    x = 2,336,361,732.24/54,712.40
  6. Step 6: Final answer
    x = 42,702.60

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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.