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Finding the Fourth Proportional to 65,116.20, 97,739.10 and 31,873.80

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Solution

The fourth proportional to 65,116.20, 97,739.10 and 31,873.80 is: 47,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,116.20 : 97,739.10 = 31,873.80 : x
  2. Step 2: Convert to fraction form
    65,116.20/97,739.10 = 31,873.80/x
  3. Step 3: Cross multiply
    65,116.20x = 97,739.10 × 31,873.80
  4. Step 4: Simplify right side
    65,116.20x = 3,115,316,525.58
  5. Step 5: Solve for x
    x = 3,115,316,525.58/65,116.20
  6. Step 6: Final answer
    x = 47,842.42

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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.