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Finding the Fourth Proportional to 56,400, 77,840.24 and 32,521.96

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Solution

The fourth proportional to 56,400, 77,840.24 and 32,521.96 is: 44,885.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,400 : 77,840.24 = 32,521.96 : x
  2. Step 2: Convert to fraction form
    56,400/77,840.24 = 32,521.96/x
  3. Step 3: Cross multiply
    56,400x = 77,840.24 × 32,521.96
  4. Step 4: Simplify right side
    56,400x = 2,531,517,171.67
  5. Step 5: Solve for x
    x = 2,531,517,171.67/56,400
  6. Step 6: Final answer
    x = 44,885.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.