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Finding the Fourth Proportional to 100,687.20, 151,052.76 and 30,572

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Solution

The fourth proportional to 100,687.20, 151,052.76 and 30,572 is: 45,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,687.20 : 151,052.76 = 30,572 : x
  2. Step 2: Convert to fraction form
    100,687.20/151,052.76 = 30,572/x
  3. Step 3: Cross multiply
    100,687.20x = 151,052.76 × 30,572
  4. Step 4: Simplify right side
    100,687.20x = 4,617,984,978.72
  5. Step 5: Solve for x
    x = 4,617,984,978.72/100,687.20
  6. Step 6: Final answer
    x = 45,864.67

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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.