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Finding the Fourth Proportional to 71,758.76, 107,638.20 and 34,310

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Solution

The fourth proportional to 71,758.76, 107,638.20 and 34,310 is: 51,465.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,758.76 : 107,638.20 = 34,310 : x
  2. Step 2: Convert to fraction form
    71,758.76/107,638.20 = 34,310/x
  3. Step 3: Cross multiply
    71,758.76x = 107,638.20 × 34,310
  4. Step 4: Simplify right side
    71,758.76x = 3,693,066,642
  5. Step 5: Solve for x
    x = 3,693,066,642/71,758.76
  6. Step 6: Final answer
    x = 51,465.03

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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.