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Finding the Fourth Proportional to 40,689.72, 56,148 and 23,693.22

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Solution

The fourth proportional to 40,689.72, 56,148 and 23,693.22 is: 32,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,689.72 : 56,148 = 23,693.22 : x
  2. Step 2: Convert to fraction form
    40,689.72/56,148 = 23,693.22/x
  3. Step 3: Cross multiply
    40,689.72x = 56,148 × 23,693.22
  4. Step 4: Simplify right side
    40,689.72x = 1,330,326,916.56
  5. Step 5: Solve for x
    x = 1,330,326,916.56/40,689.72
  6. Step 6: Final answer
    x = 32,694.42

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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.