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Finding the Fourth Proportional to 101,818.29, 152,786.94 and 42,649

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Solution

The fourth proportional to 101,818.29, 152,786.94 and 42,649 is: 63,998.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,818.29 : 152,786.94 = 42,649 : x
  2. Step 2: Convert to fraction form
    101,818.29/152,786.94 = 42,649/x
  3. Step 3: Cross multiply
    101,818.29x = 152,786.94 × 42,649
  4. Step 4: Simplify right side
    101,818.29x = 6,516,210,204.06
  5. Step 5: Solve for x
    x = 6,516,210,204.06/101,818.29
  6. Step 6: Final answer
    x = 63,998.43

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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.