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Finding the Fourth Proportional to 146,388, 202,015.68 and 79,320

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Solution

The fourth proportional to 146,388, 202,015.68 and 79,320 is: 109,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,388 : 202,015.68 = 79,320 : x
  2. Step 2: Convert to fraction form
    146,388/202,015.68 = 79,320/x
  3. Step 3: Cross multiply
    146,388x = 202,015.68 × 79,320
  4. Step 4: Simplify right side
    146,388x = 16,023,883,737.60
  5. Step 5: Solve for x
    x = 16,023,883,737.60/146,388
  6. Step 6: Final answer
    x = 109,461.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.