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Finding the Fourth Proportional to 121,411.68, 182,198.39 and 42,525.78

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Solution

The fourth proportional to 121,411.68, 182,198.39 and 42,525.78 is: 63,816.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,411.68 : 182,198.39 = 42,525.78 : x
  2. Step 2: Convert to fraction form
    121,411.68/182,198.39 = 42,525.78/x
  3. Step 3: Cross multiply
    121,411.68x = 182,198.39 × 42,525.78
  4. Step 4: Simplify right side
    121,411.68x = 7,748,128,436.87
  5. Step 5: Solve for x
    x = 7,748,128,436.87/121,411.68
  6. Step 6: Final answer
    x = 63,816.99

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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.