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Finding the Fourth Proportional to 100,811.79, 151,239.56 and 30,689.28

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Solution

The fourth proportional to 100,811.79, 151,239.56 and 30,689.28 is: 46,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,811.79 : 151,239.56 = 30,689.28 : x
  2. Step 2: Convert to fraction form
    100,811.79/151,239.56 = 30,689.28/x
  3. Step 3: Cross multiply
    100,811.79x = 151,239.56 × 30,689.28
  4. Step 4: Simplify right side
    100,811.79x = 4,641,433,050.47
  5. Step 5: Solve for x
    x = 4,641,433,050.47/100,811.79
  6. Step 6: Final answer
    x = 46,040.58

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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.