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Finding the Fourth Proportional to 67,016.76, 100,372.02 and 31,981.02

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Solution

The fourth proportional to 67,016.76, 100,372.02 and 31,981.02 is: 47,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,016.76 : 100,372.02 = 31,981.02 : x
  2. Step 2: Convert to fraction form
    67,016.76/100,372.02 = 31,981.02/x
  3. Step 3: Cross multiply
    67,016.76x = 100,372.02 × 31,981.02
  4. Step 4: Simplify right side
    67,016.76x = 3,209,999,579.06
  5. Step 5: Solve for x
    x = 3,209,999,579.06/67,016.76
  6. Step 6: Final answer
    x = 47,898.46

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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.