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Finding the Fourth Proportional to 106,412.80, 159,619.20 and 88,916.80

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Solution

The fourth proportional to 106,412.80, 159,619.20 and 88,916.80 is: 133,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,412.80 : 159,619.20 = 88,916.80 : x
  2. Step 2: Convert to fraction form
    106,412.80/159,619.20 = 88,916.80/x
  3. Step 3: Cross multiply
    106,412.80x = 159,619.20 × 88,916.80
  4. Step 4: Simplify right side
    106,412.80x = 14,192,828,482.56
  5. Step 5: Solve for x
    x = 14,192,828,482.56/106,412.80
  6. Step 6: Final answer
    x = 133,375.20

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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.