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Finding the Fourth Proportional to 77,640, 116,460 and 19,272

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Solution

The fourth proportional to 77,640, 116,460 and 19,272 is: 28,908

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,640 : 116,460 = 19,272 : x
  2. Step 2: Convert to fraction form
    77,640/116,460 = 19,272/x
  3. Step 3: Cross multiply
    77,640x = 116,460 × 19,272
  4. Step 4: Simplify right side
    77,640x = 2,244,417,120
  5. Step 5: Solve for x
    x = 2,244,417,120/77,640
  6. Step 6: Final answer
    x = 28,908

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.