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Finding the Fourth Proportional to 71,419.70, 107,094.92 and 21,490.49

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Solution

The fourth proportional to 71,419.70, 107,094.92 and 21,490.49 is: 32,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,419.70 : 107,094.92 = 21,490.49 : x
  2. Step 2: Convert to fraction form
    71,419.70/107,094.92 = 21,490.49/x
  3. Step 3: Cross multiply
    71,419.70x = 107,094.92 × 21,490.49
  4. Step 4: Simplify right side
    71,419.70x = 2,301,522,307.31
  5. Step 5: Solve for x
    x = 2,301,522,307.31/71,419.70
  6. Step 6: Final answer
    x = 32,225.31

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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.