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Finding the Fourth Proportional to 56,389.85, 84,495.78 and 20,802.20

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Solution

The fourth proportional to 56,389.85, 84,495.78 and 20,802.20 is: 31,170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,389.85 : 84,495.78 = 20,802.20 : x
  2. Step 2: Convert to fraction form
    56,389.85/84,495.78 = 20,802.20/x
  3. Step 3: Cross multiply
    56,389.85x = 84,495.78 × 20,802.20
  4. Step 4: Simplify right side
    56,389.85x = 1,757,697,692.24
  5. Step 5: Solve for x
    x = 1,757,697,692.24/56,389.85
  6. Step 6: Final answer
    x = 31,170.47

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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.