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Finding the Fourth Proportional to 55,113.89, 82,684.71 and 15,671

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Solution

The fourth proportional to 55,113.89, 82,684.71 and 15,671 is: 23,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,113.89 : 82,684.71 = 15,671 : x
  2. Step 2: Convert to fraction form
    55,113.89/82,684.71 = 15,671/x
  3. Step 3: Cross multiply
    55,113.89x = 82,684.71 × 15,671
  4. Step 4: Simplify right side
    55,113.89x = 1,295,752,012.06
  5. Step 5: Solve for x
    x = 1,295,752,012.06/55,113.89
  6. Step 6: Final answer
    x = 23,510.45

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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.