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Finding the Fourth Proportional to 142,431.96, 213,697.26 and 53,710.92

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Solution

The fourth proportional to 142,431.96, 213,697.26 and 53,710.92 is: 80,584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,431.96 : 213,697.26 = 53,710.92 : x
  2. Step 2: Convert to fraction form
    142,431.96/213,697.26 = 53,710.92/x
  3. Step 3: Cross multiply
    142,431.96x = 213,697.26 × 53,710.92
  4. Step 4: Simplify right side
    142,431.96x = 11,477,876,436.08
  5. Step 5: Solve for x
    x = 11,477,876,436.08/142,431.96
  6. Step 6: Final answer
    x = 80,584.98

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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.