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Finding the Fourth Proportional to 100,509.14, 150,785.57 and 30,386.63

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Solution

The fourth proportional to 100,509.14, 150,785.57 and 30,386.63 is: 45,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,509.14 : 150,785.57 = 30,386.63 : x
  2. Step 2: Convert to fraction form
    100,509.14/150,785.57 = 30,386.63/x
  3. Step 3: Cross multiply
    100,509.14x = 150,785.57 × 30,386.63
  4. Step 4: Simplify right side
    100,509.14x = 4,581,864,646.97
  5. Step 5: Solve for x
    x = 4,581,864,646.97/100,509.14
  6. Step 6: Final answer
    x = 45,586.55

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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.