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Finding the Fourth Proportional to 146,478.92, 202,146.36 and 82,812.92

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Solution

The fourth proportional to 146,478.92, 202,146.36 and 82,812.92 is: 114,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,478.92 : 202,146.36 = 82,812.92 : x
  2. Step 2: Convert to fraction form
    146,478.92/202,146.36 = 82,812.92/x
  3. Step 3: Cross multiply
    146,478.92x = 202,146.36 × 82,812.92
  4. Step 4: Simplify right side
    146,478.92x = 16,740,330,533.79
  5. Step 5: Solve for x
    x = 16,740,330,533.79/146,478.92
  6. Step 6: Final answer
    x = 114,284.91

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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.