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Finding the Fourth Proportional to 168,019.84, 231,652.16 and 137,693.44

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Solution

The fourth proportional to 168,019.84, 231,652.16 and 137,693.44 is: 189,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,019.84 : 231,652.16 = 137,693.44 : x
  2. Step 2: Convert to fraction form
    168,019.84/231,652.16 = 137,693.44/x
  3. Step 3: Cross multiply
    168,019.84x = 231,652.16 × 137,693.44
  4. Step 4: Simplify right side
    168,019.84x = 31,896,982,793.83
  5. Step 5: Solve for x
    x = 31,896,982,793.83/168,019.84
  6. Step 6: Final answer
    x = 189,840.57

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1.5x scale

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.