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Finding the Fourth Proportional to 142,670.60, 213,852.30 and 53,889.80

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Solution

The fourth proportional to 142,670.60, 213,852.30 and 53,889.80 is: 80,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,670.60 : 213,852.30 = 53,889.80 : x
  2. Step 2: Convert to fraction form
    142,670.60/213,852.30 = 53,889.80/x
  3. Step 3: Cross multiply
    142,670.60x = 213,852.30 × 53,889.80
  4. Step 4: Simplify right side
    142,670.60x = 11,524,457,676.54
  5. Step 5: Solve for x
    x = 11,524,457,676.54/142,670.60
  6. Step 6: Final answer
    x = 80,776.68

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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.