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Finding the Fourth Proportional to 102,685.86, 154,043.37 and 31,614.41

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Solution

The fourth proportional to 102,685.86, 154,043.37 and 31,614.41 is: 47,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,685.86 : 154,043.37 = 31,614.41 : x
  2. Step 2: Convert to fraction form
    102,685.86/154,043.37 = 31,614.41/x
  3. Step 3: Cross multiply
    102,685.86x = 154,043.37 × 31,614.41
  4. Step 4: Simplify right side
    102,685.86x = 4,869,990,256.96
  5. Step 5: Solve for x
    x = 4,869,990,256.96/102,685.86
  6. Step 6: Final answer
    x = 47,426.10

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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.