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Finding the Fourth Proportional to 142,612.92, 213,922.08 and 53,908.20

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Solution

The fourth proportional to 142,612.92, 213,922.08 and 53,908.20 is: 80,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,612.92 : 213,922.08 = 53,908.20 : x
  2. Step 2: Convert to fraction form
    142,612.92/213,922.08 = 53,908.20/x
  3. Step 3: Cross multiply
    142,612.92x = 213,922.08 × 53,908.20
  4. Step 4: Simplify right side
    142,612.92x = 11,532,154,273.06
  5. Step 5: Solve for x
    x = 11,532,154,273.06/142,612.92
  6. Step 6: Final answer
    x = 80,863.32

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1.5x scale

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.