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Finding the Fourth Proportional to 72,892.88, 109,346.04 and 31,330.32

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Solution

The fourth proportional to 72,892.88, 109,346.04 and 31,330.32 is: 46,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,892.88 : 109,346.04 = 31,330.32 : x
  2. Step 2: Convert to fraction form
    72,892.88/109,346.04 = 31,330.32/x
  3. Step 3: Cross multiply
    72,892.88x = 109,346.04 × 31,330.32
  4. Step 4: Simplify right side
    72,892.88x = 3,425,846,423.93
  5. Step 5: Solve for x
    x = 3,425,846,423.93/72,892.88
  6. Step 6: Final answer
    x = 46,998.37

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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.