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Finding the Fourth Proportional to 76,967.82, 106,233.30 and 45,146.97

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Solution

The fourth proportional to 76,967.82, 106,233.30 and 45,146.97 is: 62,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,967.82 : 106,233.30 = 45,146.97 : x
  2. Step 2: Convert to fraction form
    76,967.82/106,233.30 = 45,146.97/x
  3. Step 3: Cross multiply
    76,967.82x = 106,233.30 × 45,146.97
  4. Step 4: Simplify right side
    76,967.82x = 4,796,111,608.10
  5. Step 5: Solve for x
    x = 4,796,111,608.10/76,967.82
  6. Step 6: Final answer
    x = 62,313.21

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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.