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Finding the Fourth Proportional to 207,918, 312,015.24 and 76,590

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Solution

The fourth proportional to 207,918, 312,015.24 and 76,590 is: 114,935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,918 : 312,015.24 = 76,590 : x
  2. Step 2: Convert to fraction form
    207,918/312,015.24 = 76,590/x
  3. Step 3: Cross multiply
    207,918x = 312,015.24 × 76,590
  4. Step 4: Simplify right side
    207,918x = 23,897,247,231.60
  5. Step 5: Solve for x
    x = 23,897,247,231.60/207,918
  6. Step 6: Final answer
    x = 114,935.92

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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.