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Finding the Fourth Proportional to 208,287, 312,365.70 and 75,149.82

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Solution

The fourth proportional to 208,287, 312,365.70 and 75,149.82 is: 112,701.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,287 : 312,365.70 = 75,149.82 : x
  2. Step 2: Convert to fraction form
    208,287/312,365.70 = 75,149.82/x
  3. Step 3: Cross multiply
    208,287x = 312,365.70 × 75,149.82
  4. Step 4: Simplify right side
    208,287x = 23,474,226,129.17
  5. Step 5: Solve for x
    x = 23,474,226,129.17/208,287
  6. Step 6: Final answer
    x = 112,701.35

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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.