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Finding the Fourth Proportional to 100,751.10, 151,121.16 and 30,624.94

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Solution

The fourth proportional to 100,751.10, 151,121.16 and 30,624.94 is: 45,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,751.10 : 151,121.16 = 30,624.94 : x
  2. Step 2: Convert to fraction form
    100,751.10/151,121.16 = 30,624.94/x
  3. Step 3: Cross multiply
    100,751.10x = 151,121.16 × 30,624.94
  4. Step 4: Simplify right side
    100,751.10x = 4,628,076,457.73
  5. Step 5: Solve for x
    x = 4,628,076,457.73/100,751.10
  6. Step 6: Final answer
    x = 45,935.74

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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.