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Finding the Fourth Proportional to 106,520.80, 158,722.76 and 102,503.20

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Solution

The fourth proportional to 106,520.80, 158,722.76 and 102,503.20 is: 152,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,520.80 : 158,722.76 = 102,503.20 : x
  2. Step 2: Convert to fraction form
    106,520.80/158,722.76 = 102,503.20/x
  3. Step 3: Cross multiply
    106,520.80x = 158,722.76 × 102,503.20
  4. Step 4: Simplify right side
    106,520.80x = 16,269,590,812.83
  5. Step 5: Solve for x
    x = 16,269,590,812.83/106,520.80
  6. Step 6: Final answer
    x = 152,736.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.