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Finding the Fourth Proportional to 71,214.83, 106,859.37 and 51,654.84

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Solution

The fourth proportional to 71,214.83, 106,859.37 and 51,654.84 is: 77,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,214.83 : 106,859.37 = 51,654.84 : x
  2. Step 2: Convert to fraction form
    71,214.83/106,859.37 = 51,654.84/x
  3. Step 3: Cross multiply
    71,214.83x = 106,859.37 × 51,654.84
  4. Step 4: Simplify right side
    71,214.83x = 5,519,803,659.85
  5. Step 5: Solve for x
    x = 5,519,803,659.85/71,214.83
  6. Step 6: Final answer
    x = 77,509.19

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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.