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Finding the Fourth Proportional to 154,702.32, 213,475.95 and 85,794

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Solution

The fourth proportional to 154,702.32, 213,475.95 and 85,794 is: 118,388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,702.32 : 213,475.95 = 85,794 : x
  2. Step 2: Convert to fraction form
    154,702.32/213,475.95 = 85,794/x
  3. Step 3: Cross multiply
    154,702.32x = 213,475.95 × 85,794
  4. Step 4: Simplify right side
    154,702.32x = 18,314,955,654.30
  5. Step 5: Solve for x
    x = 18,314,955,654.30/154,702.32
  6. Step 6: Final answer
    x = 118,388.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.