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Finding the Fourth Proportional to 83,141.76, 124,712.64 and 20,812.26

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Solution

The fourth proportional to 83,141.76, 124,712.64 and 20,812.26 is: 31,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,141.76 : 124,712.64 = 20,812.26 : x
  2. Step 2: Convert to fraction form
    83,141.76/124,712.64 = 20,812.26/x
  3. Step 3: Cross multiply
    83,141.76x = 124,712.64 × 20,812.26
  4. Step 4: Simplify right side
    83,141.76x = 2,595,551,888.97
  5. Step 5: Solve for x
    x = 2,595,551,888.97/83,141.76
  6. Step 6: Final answer
    x = 31,218.39

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1.5x scale

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.