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Finding the Fourth Proportional to 56,446.80, 84,767.40 and 54,697.20

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Solution

The fourth proportional to 56,446.80, 84,767.40 and 54,697.20 is: 82,139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,446.80 : 84,767.40 = 54,697.20 : x
  2. Step 2: Convert to fraction form
    56,446.80/84,767.40 = 54,697.20/x
  3. Step 3: Cross multiply
    56,446.80x = 84,767.40 × 54,697.20
  4. Step 4: Simplify right side
    56,446.80x = 4,636,539,431.28
  5. Step 5: Solve for x
    x = 4,636,539,431.28/56,446.80
  6. Step 6: Final answer
    x = 82,139.99

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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.