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Finding the Fourth Proportional to 120,632.79, 180,950.73 and 31,885.52

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Solution

The fourth proportional to 120,632.79, 180,950.73 and 31,885.52 is: 47,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,632.79 : 180,950.73 = 31,885.52 : x
  2. Step 2: Convert to fraction form
    120,632.79/180,950.73 = 31,885.52/x
  3. Step 3: Cross multiply
    120,632.79x = 180,950.73 × 31,885.52
  4. Step 4: Simplify right side
    120,632.79x = 5,769,707,096.11
  5. Step 5: Solve for x
    x = 5,769,707,096.11/120,632.79
  6. Step 6: Final answer
    x = 47,828.68

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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.