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Finding the Fourth Proportional to 131,493, 181,460.34 and 71,877

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Solution

The fourth proportional to 131,493, 181,460.34 and 71,877 is: 99,190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,493 : 181,460.34 = 71,877 : x
  2. Step 2: Convert to fraction form
    131,493/181,460.34 = 71,877/x
  3. Step 3: Cross multiply
    131,493x = 181,460.34 × 71,877
  4. Step 4: Simplify right side
    131,493x = 13,042,824,858.18
  5. Step 5: Solve for x
    x = 13,042,824,858.18/131,493
  6. Step 6: Final answer
    x = 99,190.26

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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.