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Finding the Fourth Proportional to 55,683, 76,846.21 and 30,532.50

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Solution

The fourth proportional to 55,683, 76,846.21 and 30,532.50 is: 42,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,683 : 76,846.21 = 30,532.50 : x
  2. Step 2: Convert to fraction form
    55,683/76,846.21 = 30,532.50/x
  3. Step 3: Cross multiply
    55,683x = 76,846.21 × 30,532.50
  4. Step 4: Simplify right side
    55,683x = 2,346,306,830.49
  5. Step 5: Solve for x
    x = 2,346,306,830.49/55,683
  6. Step 6: Final answer
    x = 42,136.86

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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.