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Finding the Fourth Proportional to 146,892, 220,407.12 and 76,804.32

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Solution

The fourth proportional to 146,892, 220,407.12 and 76,804.32 is: 115,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,892 : 220,407.12 = 76,804.32 : x
  2. Step 2: Convert to fraction form
    146,892/220,407.12 = 76,804.32/x
  3. Step 3: Cross multiply
    146,892x = 220,407.12 × 76,804.32
  4. Step 4: Simplify right side
    146,892x = 16,928,218,974.76
  5. Step 5: Solve for x
    x = 16,928,218,974.76/146,892
  6. Step 6: Final answer
    x = 115,242.62

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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.