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Finding the Fourth Proportional to 71,791.84, 107,931 and 57,849.68

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Solution

The fourth proportional to 71,791.84, 107,931 and 57,849.68 is: 86,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,791.84 : 107,931 = 57,849.68 : x
  2. Step 2: Convert to fraction form
    71,791.84/107,931 = 57,849.68/x
  3. Step 3: Cross multiply
    71,791.84x = 107,931 × 57,849.68
  4. Step 4: Simplify right side
    71,791.84x = 6,243,773,812.08
  5. Step 5: Solve for x
    x = 6,243,773,812.08/71,791.84
  6. Step 6: Final answer
    x = 86,970.52

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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.