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Finding the Fourth Proportional to 67,011.50, 100,364.16 and 31,975.76

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Solution

The fourth proportional to 67,011.50, 100,364.16 and 31,975.76 is: 47,890.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,011.50 : 100,364.16 = 31,975.76 : x
  2. Step 2: Convert to fraction form
    67,011.50/100,364.16 = 31,975.76/x
  3. Step 3: Cross multiply
    67,011.50x = 100,364.16 × 31,975.76
  4. Step 4: Simplify right side
    67,011.50x = 3,209,220,663.58
  5. Step 5: Solve for x
    x = 3,209,220,663.58/67,011.50
  6. Step 6: Final answer
    x = 47,890.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.