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Finding the Fourth Proportional to 100,716, 151,074.36 and 40,743.60

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Solution

The fourth proportional to 100,716, 151,074.36 and 40,743.60 is: 61,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,716 : 151,074.36 = 40,743.60 : x
  2. Step 2: Convert to fraction form
    100,716/151,074.36 = 40,743.60/x
  3. Step 3: Cross multiply
    100,716x = 151,074.36 × 40,743.60
  4. Step 4: Simplify right side
    100,716x = 6,155,313,294.10
  5. Step 5: Solve for x
    x = 6,155,313,294.10/100,716
  6. Step 6: Final answer
    x = 61,115.55

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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.