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Finding the Fourth Proportional to 65,078.96, 97,591.40 and 31,789.36

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Solution

The fourth proportional to 65,078.96, 97,591.40 and 31,789.36 is: 47,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,078.96 : 97,591.40 = 31,789.36 : x
  2. Step 2: Convert to fraction form
    65,078.96/97,591.40 = 31,789.36/x
  3. Step 3: Cross multiply
    65,078.96x = 97,591.40 × 31,789.36
  4. Step 4: Simplify right side
    65,078.96x = 3,102,368,147.50
  5. Step 5: Solve for x
    x = 3,102,368,147.50/65,078.96
  6. Step 6: Final answer
    x = 47,670.83

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1.5x scale

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.