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Finding the Fourth Proportional to 56,551, 78,043.62 and 31,402.12

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Solution

The fourth proportional to 56,551, 78,043.62 and 31,402.12 is: 43,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,551 : 78,043.62 = 31,402.12 : x
  2. Step 2: Convert to fraction form
    56,551/78,043.62 = 31,402.12/x
  3. Step 3: Cross multiply
    56,551x = 78,043.62 × 31,402.12
  4. Step 4: Simplify right side
    56,551x = 2,450,735,120.47
  5. Step 5: Solve for x
    x = 2,450,735,120.47/56,551
  6. Step 6: Final answer
    x = 43,336.72

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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.