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Finding the Fourth Proportional to 58,734, 81,120.22 and 38,680.50

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Solution

The fourth proportional to 58,734, 81,120.22 and 38,680.50 is: 53,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,734 : 81,120.22 = 38,680.50 : x
  2. Step 2: Convert to fraction form
    58,734/81,120.22 = 38,680.50/x
  3. Step 3: Cross multiply
    58,734x = 81,120.22 × 38,680.50
  4. Step 4: Simplify right side
    58,734x = 3,137,770,669.71
  5. Step 5: Solve for x
    x = 3,137,770,669.71/58,734
  6. Step 6: Final answer
    x = 53,423.41

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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.