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Finding the Fourth Proportional to 71,578, 107,366.32 and 43,505.80

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Solution

The fourth proportional to 71,578, 107,366.32 and 43,505.80 is: 65,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578 : 107,366.32 = 43,505.80 : x
  2. Step 2: Convert to fraction form
    71,578/107,366.32 = 43,505.80/x
  3. Step 3: Cross multiply
    71,578x = 107,366.32 × 43,505.80
  4. Step 4: Simplify right side
    71,578x = 4,671,057,644.66
  5. Step 5: Solve for x
    x = 4,671,057,644.66/71,578
  6. Step 6: Final answer
    x = 65,258.29

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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.