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Finding the Fourth Proportional to 101,968.58, 140,714.58 and 56,644.46

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Solution

The fourth proportional to 101,968.58, 140,714.58 and 56,644.46 is: 78,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,968.58 : 140,714.58 = 56,644.46 : x
  2. Step 2: Convert to fraction form
    101,968.58/140,714.58 = 56,644.46/x
  3. Step 3: Cross multiply
    101,968.58x = 140,714.58 × 56,644.46
  4. Step 4: Simplify right side
    101,968.58x = 7,970,701,398.23
  5. Step 5: Solve for x
    x = 7,970,701,398.23/101,968.58
  6. Step 6: Final answer
    x = 78,168.21

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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.