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Finding the Fourth Proportional to 77,488, 116,232 and 19,120

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Solution

The fourth proportional to 77,488, 116,232 and 19,120 is: 28,680

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,488 : 116,232 = 19,120 : x
  2. Step 2: Convert to fraction form
    77,488/116,232 = 19,120/x
  3. Step 3: Cross multiply
    77,488x = 116,232 × 19,120
  4. Step 4: Simplify right side
    77,488x = 2,222,355,840
  5. Step 5: Solve for x
    x = 2,222,355,840/77,488
  6. Step 6: Final answer
    x = 28,680

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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.