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Finding the Fourth Proportional to 83,090.40, 124,612.56 and 23,910

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Solution

The fourth proportional to 83,090.40, 124,612.56 and 23,910 is: 35,858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,090.40 : 124,612.56 = 23,910 : x
  2. Step 2: Convert to fraction form
    83,090.40/124,612.56 = 23,910/x
  3. Step 3: Cross multiply
    83,090.40x = 124,612.56 × 23,910
  4. Step 4: Simplify right side
    83,090.40x = 2,979,486,309.60
  5. Step 5: Solve for x
    x = 2,979,486,309.60/83,090.40
  6. Step 6: Final answer
    x = 35,858.37

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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.