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Finding the Fourth Proportional to 75,057.81, 112,578.35 and 18,897.90

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Solution

The fourth proportional to 75,057.81, 112,578.35 and 18,897.90 is: 28,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,057.81 : 112,578.35 = 18,897.90 : x
  2. Step 2: Convert to fraction form
    75,057.81/112,578.35 = 18,897.90/x
  3. Step 3: Cross multiply
    75,057.81x = 112,578.35 × 18,897.90
  4. Step 4: Simplify right side
    75,057.81x = 2,127,494,305.98
  5. Step 5: Solve for x
    x = 2,127,494,305.98/75,057.81
  6. Step 6: Final answer
    x = 28,344.74

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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.