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Finding the Fourth Proportional to 100,751.70, 151,132.95 and 30,625.68

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Solution

The fourth proportional to 100,751.70, 151,132.95 and 30,625.68 is: 45,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,751.70 : 151,132.95 = 30,625.68 : x
  2. Step 2: Convert to fraction form
    100,751.70/151,132.95 = 30,625.68/x
  3. Step 3: Cross multiply
    100,751.70x = 151,132.95 × 30,625.68
  4. Step 4: Simplify right side
    100,751.70x = 4,628,549,364.16
  5. Step 5: Solve for x
    x = 4,628,549,364.16/100,751.70
  6. Step 6: Final answer
    x = 45,940.16

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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.