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Finding the Fourth Proportional to 106,312.80, 159,469.20 and 73,135.20

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Solution

The fourth proportional to 106,312.80, 159,469.20 and 73,135.20 is: 109,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,312.80 : 159,469.20 = 73,135.20 : x
  2. Step 2: Convert to fraction form
    106,312.80/159,469.20 = 73,135.20/x
  3. Step 3: Cross multiply
    106,312.80x = 159,469.20 × 73,135.20
  4. Step 4: Simplify right side
    106,312.80x = 11,662,811,835.84
  5. Step 5: Solve for x
    x = 11,662,811,835.84/106,312.80
  6. Step 6: Final answer
    x = 109,702.80

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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.