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Finding the Fourth Proportional to 76,964.33, 106,228.48 and 45,143.48

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Solution

The fourth proportional to 76,964.33, 106,228.48 and 45,143.48 is: 62,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,964.33 : 106,228.48 = 45,143.48 : x
  2. Step 2: Convert to fraction form
    76,964.33/106,228.48 = 45,143.48/x
  3. Step 3: Cross multiply
    76,964.33x = 106,228.48 × 45,143.48
  4. Step 4: Simplify right side
    76,964.33x = 4,795,523,262.31
  5. Step 5: Solve for x
    x = 4,795,523,262.31/76,964.33
  6. Step 6: Final answer
    x = 62,308.39

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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.