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Finding the Fourth Proportional to 71,991.63, 107,988.03 and 47,188.76

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Solution

The fourth proportional to 71,991.63, 107,988.03 and 47,188.76 is: 70,783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,991.63 : 107,988.03 = 47,188.76 : x
  2. Step 2: Convert to fraction form
    71,991.63/107,988.03 = 47,188.76/x
  3. Step 3: Cross multiply
    71,991.63x = 107,988.03 × 47,188.76
  4. Step 4: Simplify right side
    71,991.63x = 5,095,820,690.60
  5. Step 5: Solve for x
    x = 5,095,820,690.60/71,991.63
  6. Step 6: Final answer
    x = 70,783.52

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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.