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Finding the Fourth Proportional to 142,265.70, 213,326.64 and 47,462.94

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Solution

The fourth proportional to 142,265.70, 213,326.64 and 47,462.94 is: 71,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,265.70 : 213,326.64 = 47,462.94 : x
  2. Step 2: Convert to fraction form
    142,265.70/213,326.64 = 47,462.94/x
  3. Step 3: Cross multiply
    142,265.70x = 213,326.64 × 47,462.94
  4. Step 4: Simplify right side
    142,265.70x = 10,125,109,514.72
  5. Step 5: Solve for x
    x = 10,125,109,514.72/142,265.70
  6. Step 6: Final answer
    x = 71,170.42

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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.