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Finding the Fourth Proportional to 100,674.40, 151,011.60 and 30,557.20

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Solution

The fourth proportional to 100,674.40, 151,011.60 and 30,557.20 is: 45,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,674.40 : 151,011.60 = 30,557.20 : x
  2. Step 2: Convert to fraction form
    100,674.40/151,011.60 = 30,557.20/x
  3. Step 3: Cross multiply
    100,674.40x = 151,011.60 × 30,557.20
  4. Step 4: Simplify right side
    100,674.40x = 4,614,491,663.52
  5. Step 5: Solve for x
    x = 4,614,491,663.52/100,674.40
  6. Step 6: Final answer
    x = 45,835.80

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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.