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Finding the Fourth Proportional to 68,319, 102,531.42 and 47,405.88

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Solution

The fourth proportional to 68,319, 102,531.42 and 47,405.88 is: 71,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,319 : 102,531.42 = 47,405.88 : x
  2. Step 2: Convert to fraction form
    68,319/102,531.42 = 47,405.88/x
  3. Step 3: Cross multiply
    68,319x = 102,531.42 × 47,405.88
  4. Step 4: Simplify right side
    68,319x = 4,860,592,192.75
  5. Step 5: Solve for x
    x = 4,860,592,192.75/68,319
  6. Step 6: Final answer
    x = 71,145.54

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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.