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Finding the Fourth Proportional to 252,704.84, 348,739.85 and 137,990.77

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Solution

The fourth proportional to 252,704.84, 348,739.85 and 137,990.77 is: 190,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,704.84 : 348,739.85 = 137,990.77 : x
  2. Step 2: Convert to fraction form
    252,704.84/348,739.85 = 137,990.77/x
  3. Step 3: Cross multiply
    252,704.84x = 348,739.85 × 137,990.77
  4. Step 4: Simplify right side
    252,704.84x = 48,122,879,904.31
  5. Step 5: Solve for x
    x = 48,122,879,904.31/252,704.84
  6. Step 6: Final answer
    x = 190,431.18

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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.