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Finding the Fourth Proportional to 142,410.36, 213,630.14 and 53,738.48

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Solution

The fourth proportional to 142,410.36, 213,630.14 and 53,738.48 is: 80,613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,410.36 : 213,630.14 = 53,738.48 : x
  2. Step 2: Convert to fraction form
    142,410.36/213,630.14 = 53,738.48/x
  3. Step 3: Cross multiply
    142,410.36x = 213,630.14 × 53,738.48
  4. Step 4: Simplify right side
    142,410.36x = 11,480,159,005.79
  5. Step 5: Solve for x
    x = 11,480,159,005.79/142,410.36
  6. Step 6: Final answer
    x = 80,613.23

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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.