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Finding the Fourth Proportional to 72,741, 100,384 and 44,061.74

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Solution

The fourth proportional to 72,741, 100,384 and 44,061.74 is: 60,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,741 : 100,384 = 44,061.74 : x
  2. Step 2: Convert to fraction form
    72,741/100,384 = 44,061.74/x
  3. Step 3: Cross multiply
    72,741x = 100,384 × 44,061.74
  4. Step 4: Simplify right side
    72,741x = 4,423,093,708.16
  5. Step 5: Solve for x
    x = 4,423,093,708.16/72,741
  6. Step 6: Final answer
    x = 60,806.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.