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Finding the Fourth Proportional to 56,195.20, 84,317.10 and 28,493.20

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Solution

The fourth proportional to 56,195.20, 84,317.10 and 28,493.20 is: 42,752.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,195.20 : 84,317.10 = 28,493.20 : x
  2. Step 2: Convert to fraction form
    56,195.20/84,317.10 = 28,493.20/x
  3. Step 3: Cross multiply
    56,195.20x = 84,317.10 × 28,493.20
  4. Step 4: Simplify right side
    56,195.20x = 2,402,463,993.72
  5. Step 5: Solve for x
    x = 2,402,463,993.72/56,195.20
  6. Step 6: Final answer
    x = 42,752.12

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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.