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Finding the Fourth Proportional to 97,876, 135,080.40 and 58,132

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Solution

The fourth proportional to 97,876, 135,080.40 and 58,132 is: 80,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,876 : 135,080.40 = 58,132 : x
  2. Step 2: Convert to fraction form
    97,876/135,080.40 = 58,132/x
  3. Step 3: Cross multiply
    97,876x = 135,080.40 × 58,132
  4. Step 4: Simplify right side
    97,876x = 7,852,493,812.80
  5. Step 5: Solve for x
    x = 7,852,493,812.80/97,876
  6. Step 6: Final answer
    x = 80,229.00

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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.