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Finding the Fourth Proportional to 92,145.12, 138,217.44 and 36,780

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Solution

The fourth proportional to 92,145.12, 138,217.44 and 36,780 is: 55,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,145.12 : 138,217.44 = 36,780 : x
  2. Step 2: Convert to fraction form
    92,145.12/138,217.44 = 36,780/x
  3. Step 3: Cross multiply
    92,145.12x = 138,217.44 × 36,780
  4. Step 4: Simplify right side
    92,145.12x = 5,083,637,443.20
  5. Step 5: Solve for x
    x = 5,083,637,443.20/92,145.12
  6. Step 6: Final answer
    x = 55,169.90

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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.