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Finding the Fourth Proportional to 76,964.48, 105,974.08 and 65,608.48

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Solution

The fourth proportional to 76,964.48, 105,974.08 and 65,608.48 is: 90,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,964.48 : 105,974.08 = 65,608.48 : x
  2. Step 2: Convert to fraction form
    76,964.48/105,974.08 = 65,608.48/x
  3. Step 3: Cross multiply
    76,964.48x = 105,974.08 × 65,608.48
  4. Step 4: Simplify right side
    76,964.48x = 6,952,798,308.20
  5. Step 5: Solve for x
    x = 6,952,798,308.20/76,964.48
  6. Step 6: Final answer
    x = 90,337.75

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1.5x scale

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.