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Finding the Fourth Proportional to 105,482.64, 158,112.72 and 72,193.80

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Solution

The fourth proportional to 105,482.64, 158,112.72 and 72,193.80 is: 108,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,482.64 : 158,112.72 = 72,193.80 : x
  2. Step 2: Convert to fraction form
    105,482.64/158,112.72 = 72,193.80/x
  3. Step 3: Cross multiply
    105,482.64x = 158,112.72 × 72,193.80
  4. Step 4: Simplify right side
    105,482.64x = 11,414,758,085.14
  5. Step 5: Solve for x
    x = 11,414,758,085.14/105,482.64
  6. Step 6: Final answer
    x = 108,214.57

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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.