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Finding the Fourth Proportional to 83,274.98, 125,039.19 and 72,738.98

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Solution

The fourth proportional to 83,274.98, 125,039.19 and 72,738.98 is: 109,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,274.98 : 125,039.19 = 72,738.98 : x
  2. Step 2: Convert to fraction form
    83,274.98/125,039.19 = 72,738.98/x
  3. Step 3: Cross multiply
    83,274.98x = 125,039.19 × 72,738.98
  4. Step 4: Simplify right side
    83,274.98x = 9,095,223,140.63
  5. Step 5: Solve for x
    x = 9,095,223,140.63/83,274.98
  6. Step 6: Final answer
    x = 109,219.16

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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.