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Finding the Fourth Proportional to 148,737.75, 205,258.10 and 81,669.75

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Solution

The fourth proportional to 148,737.75, 205,258.10 and 81,669.75 is: 112,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,737.75 : 205,258.10 = 81,669.75 : x
  2. Step 2: Convert to fraction form
    148,737.75/205,258.10 = 81,669.75/x
  3. Step 3: Cross multiply
    148,737.75x = 205,258.10 × 81,669.75
  4. Step 4: Simplify right side
    148,737.75x = 16,763,377,712.48
  5. Step 5: Solve for x
    x = 16,763,377,712.48/148,737.75
  6. Step 6: Final answer
    x = 112,704.26

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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.