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Finding the Fourth Proportional to 102,434, 153,676.92 and 28,562

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Solution

The fourth proportional to 102,434, 153,676.92 and 28,562 is: 42,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,434 : 153,676.92 = 28,562 : x
  2. Step 2: Convert to fraction form
    102,434/153,676.92 = 28,562/x
  3. Step 3: Cross multiply
    102,434x = 153,676.92 × 28,562
  4. Step 4: Simplify right side
    102,434x = 4,389,320,189.04
  5. Step 5: Solve for x
    x = 4,389,320,189.04/102,434
  6. Step 6: Final answer
    x = 42,850.23

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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.