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Finding the Fourth Proportional to 142,176.94, 213,243.54 and 47,408.77

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Solution

The fourth proportional to 142,176.94, 213,243.54 and 47,408.77 is: 71,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,176.94 : 213,243.54 = 47,408.77 : x
  2. Step 2: Convert to fraction form
    142,176.94/213,243.54 = 47,408.77/x
  3. Step 3: Cross multiply
    142,176.94x = 213,243.54 × 47,408.77
  4. Step 4: Simplify right side
    142,176.94x = 10,109,613,941.85
  5. Step 5: Solve for x
    x = 10,109,613,941.85/142,176.94
  6. Step 6: Final answer
    x = 71,105.86

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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.