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Finding the Fourth Proportional to 142,452.58, 213,709.12 and 53,703.94

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Solution

The fourth proportional to 142,452.58, 213,709.12 and 53,703.94 is: 80,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,452.58 : 213,709.12 = 53,703.94 : x
  2. Step 2: Convert to fraction form
    142,452.58/213,709.12 = 53,703.94/x
  3. Step 3: Cross multiply
    142,452.58x = 213,709.12 × 53,703.94
  4. Step 4: Simplify right side
    142,452.58x = 11,477,021,757.93
  5. Step 5: Solve for x
    x = 11,477,021,757.93/142,452.58
  6. Step 6: Final answer
    x = 80,567.31

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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.