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Finding the Fourth Proportional to 56,484.80, 84,824.40 and 54,735.20

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Solution

The fourth proportional to 56,484.80, 84,824.40 and 54,735.20 is: 82,196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,484.80 : 84,824.40 = 54,735.20 : x
  2. Step 2: Convert to fraction form
    56,484.80/84,824.40 = 54,735.20/x
  3. Step 3: Cross multiply
    56,484.80x = 84,824.40 × 54,735.20
  4. Step 4: Simplify right side
    56,484.80x = 4,642,880,498.88
  5. Step 5: Solve for x
    x = 4,642,880,498.88/56,484.80
  6. Step 6: Final answer
    x = 82,196.99

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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.