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Finding the Fourth Proportional to 142,409.36, 213,628.64 and 53,737.48

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Solution

The fourth proportional to 142,409.36, 213,628.64 and 53,737.48 is: 80,611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,409.36 : 213,628.64 = 53,737.48 : x
  2. Step 2: Convert to fraction form
    142,409.36/213,628.64 = 53,737.48/x
  3. Step 3: Cross multiply
    142,409.36x = 213,628.64 × 53,737.48
  4. Step 4: Simplify right side
    142,409.36x = 11,479,864,769.43
  5. Step 5: Solve for x
    x = 11,479,864,769.43/142,409.36
  6. Step 6: Final answer
    x = 80,611.73

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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.