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Finding the Fourth Proportional to 57,984.69, 87,010.49 and 31,330.77

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Solution

The fourth proportional to 57,984.69, 87,010.49 and 31,330.77 is: 47,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984.69 : 87,010.49 = 31,330.77 : x
  2. Step 2: Convert to fraction form
    57,984.69/87,010.49 = 31,330.77/x
  3. Step 3: Cross multiply
    57,984.69x = 87,010.49 × 31,330.77
  4. Step 4: Simplify right side
    57,984.69x = 2,726,105,401.81
  5. Step 5: Solve for x
    x = 2,726,105,401.81/57,984.69
  6. Step 6: Final answer
    x = 47,014.22

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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.