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Finding the Fourth Proportional to 77,470, 116,205 and 19,102

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Solution

The fourth proportional to 77,470, 116,205 and 19,102 is: 28,653

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,470 : 116,205 = 19,102 : x
  2. Step 2: Convert to fraction form
    77,470/116,205 = 19,102/x
  3. Step 3: Cross multiply
    77,470x = 116,205 × 19,102
  4. Step 4: Simplify right side
    77,470x = 2,219,747,910
  5. Step 5: Solve for x
    x = 2,219,747,910/77,470
  6. Step 6: Final answer
    x = 28,653

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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.