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Finding the Fourth Proportional to 83,419.26, 125,128.90 and 21,089.76

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Solution

The fourth proportional to 83,419.26, 125,128.90 and 21,089.76 is: 31,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,419.26 : 125,128.90 = 21,089.76 : x
  2. Step 2: Convert to fraction form
    83,419.26/125,128.90 = 21,089.76/x
  3. Step 3: Cross multiply
    83,419.26x = 125,128.90 × 21,089.76
  4. Step 4: Simplify right side
    83,419.26x = 2,638,938,470.06
  5. Step 5: Solve for x
    x = 2,638,938,470.06/83,419.26
  6. Step 6: Final answer
    x = 31,634.64

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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.