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Finding the Fourth Proportional to 208,159.89, 312,142.50 and 75,022.62

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Solution

The fourth proportional to 208,159.89, 312,142.50 and 75,022.62 is: 112,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,159.89 : 312,142.50 = 75,022.62 : x
  2. Step 2: Convert to fraction form
    208,159.89/312,142.50 = 75,022.62/x
  3. Step 3: Cross multiply
    208,159.89x = 312,142.50 × 75,022.62
  4. Step 4: Simplify right side
    208,159.89x = 23,417,748,163.35
  5. Step 5: Solve for x
    x = 23,417,748,163.35/208,159.89
  6. Step 6: Final answer
    x = 112,498.85

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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.