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Finding the Fourth Proportional to 71,756.76, 107,635.20 and 34,308

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Solution

The fourth proportional to 71,756.76, 107,635.20 and 34,308 is: 51,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,756.76 : 107,635.20 = 34,308 : x
  2. Step 2: Convert to fraction form
    71,756.76/107,635.20 = 34,308/x
  3. Step 3: Cross multiply
    71,756.76x = 107,635.20 × 34,308
  4. Step 4: Simplify right side
    71,756.76x = 3,692,748,441.60
  5. Step 5: Solve for x
    x = 3,692,748,441.60/71,756.76
  6. Step 6: Final answer
    x = 51,462.03

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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.