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Finding the Fourth Proportional to 70,129.31, 96,714.34 and 54,817.88

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Solution

The fourth proportional to 70,129.31, 96,714.34 and 54,817.88 is: 75,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,129.31 : 96,714.34 = 54,817.88 : x
  2. Step 2: Convert to fraction form
    70,129.31/96,714.34 = 54,817.88/x
  3. Step 3: Cross multiply
    70,129.31x = 96,714.34 × 54,817.88
  4. Step 4: Simplify right side
    70,129.31x = 5,301,674,463.78
  5. Step 5: Solve for x
    x = 5,301,674,463.78/70,129.31
  6. Step 6: Final answer
    x = 75,598.56

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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.