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Finding the Fourth Proportional to 81,347.81, 122,010.17 and 31,451.40

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Solution

The fourth proportional to 81,347.81, 122,010.17 and 31,451.40 is: 47,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,347.81 : 122,010.17 = 31,451.40 : x
  2. Step 2: Convert to fraction form
    81,347.81/122,010.17 = 31,451.40/x
  3. Step 3: Cross multiply
    81,347.81x = 122,010.17 × 31,451.40
  4. Step 4: Simplify right side
    81,347.81x = 3,837,390,503.48
  5. Step 5: Solve for x
    x = 3,837,390,503.48/81,347.81
  6. Step 6: Final answer
    x = 47,172.64

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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.