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Finding the Fourth Proportional to 120,462.86, 180,678.87 and 31,723.18

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Solution

The fourth proportional to 120,462.86, 180,678.87 and 31,723.18 is: 47,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,462.86 : 180,678.87 = 31,723.18 : x
  2. Step 2: Convert to fraction form
    120,462.86/180,678.87 = 31,723.18/x
  3. Step 3: Cross multiply
    120,462.86x = 180,678.87 × 31,723.18
  4. Step 4: Simplify right side
    120,462.86x = 5,731,707,863.51
  5. Step 5: Solve for x
    x = 5,731,707,863.51/120,462.86
  6. Step 6: Final answer
    x = 47,580.70

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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.