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Finding the Fourth Proportional to 131,452, 181,403.76 and 71,836

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Solution

The fourth proportional to 131,452, 181,403.76 and 71,836 is: 99,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,452 : 181,403.76 = 71,836 : x
  2. Step 2: Convert to fraction form
    131,452/181,403.76 = 71,836/x
  3. Step 3: Cross multiply
    131,452x = 181,403.76 × 71,836
  4. Step 4: Simplify right side
    131,452x = 13,031,320,503.36
  5. Step 5: Solve for x
    x = 13,031,320,503.36/131,452
  6. Step 6: Final answer
    x = 99,133.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.