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Finding the Fourth Proportional to 252,712.30, 348,737.79 and 137,994.43

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Solution

The fourth proportional to 252,712.30, 348,737.79 and 137,994.43 is: 190,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,712.30 : 348,737.79 = 137,994.43 : x
  2. Step 2: Convert to fraction form
    252,712.30/348,737.79 = 137,994.43/x
  3. Step 3: Cross multiply
    252,712.30x = 348,737.79 × 137,994.43
  4. Step 4: Simplify right side
    252,712.30x = 48,123,872,550.51
  5. Step 5: Solve for x
    x = 48,123,872,550.51/252,712.30
  6. Step 6: Final answer
    x = 190,429.48

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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.