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Finding the Fourth Proportional to 102,919.20, 154,378.80 and 95,920.80

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Solution

The fourth proportional to 102,919.20, 154,378.80 and 95,920.80 is: 143,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,919.20 : 154,378.80 = 95,920.80 : x
  2. Step 2: Convert to fraction form
    102,919.20/154,378.80 = 95,920.80/x
  3. Step 3: Cross multiply
    102,919.20x = 154,378.80 × 95,920.80
  4. Step 4: Simplify right side
    102,919.20x = 14,808,137,999.04
  5. Step 5: Solve for x
    x = 14,808,137,999.04/102,919.20
  6. Step 6: Final answer
    x = 143,881.20

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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.