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Finding the Fourth Proportional to 78,966, 118,449 and 20,598

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Solution

The fourth proportional to 78,966, 118,449 and 20,598 is: 30,897

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,966 : 118,449 = 20,598 : x
  2. Step 2: Convert to fraction form
    78,966/118,449 = 20,598/x
  3. Step 3: Cross multiply
    78,966x = 118,449 × 20,598
  4. Step 4: Simplify right side
    78,966x = 2,439,812,502
  5. Step 5: Solve for x
    x = 2,439,812,502/78,966
  6. Step 6: Final answer
    x = 30,897

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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.