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Finding the Fourth Proportional to 113,676.81, 170,363.72 and 53,721.20

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Solution

The fourth proportional to 113,676.81, 170,363.72 and 53,721.20 is: 80,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,676.81 : 170,363.72 = 53,721.20 : x
  2. Step 2: Convert to fraction form
    113,676.81/170,363.72 = 53,721.20/x
  3. Step 3: Cross multiply
    113,676.81x = 170,363.72 × 53,721.20
  4. Step 4: Simplify right side
    113,676.81x = 9,152,143,141.41
  5. Step 5: Solve for x
    x = 9,152,143,141.41/113,676.81
  6. Step 6: Final answer
    x = 80,510.21

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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.