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Finding the Fourth Proportional to 77,338, 116,007 and 18,970

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Solution

The fourth proportional to 77,338, 116,007 and 18,970 is: 28,455

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,338 : 116,007 = 18,970 : x
  2. Step 2: Convert to fraction form
    77,338/116,007 = 18,970/x
  3. Step 3: Cross multiply
    77,338x = 116,007 × 18,970
  4. Step 4: Simplify right side
    77,338x = 2,200,652,790
  5. Step 5: Solve for x
    x = 2,200,652,790/77,338
  6. Step 6: Final answer
    x = 28,455

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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.