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Finding the Fourth Proportional to 231,850.74, 319,957.35 and 135,052.13

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Solution

The fourth proportional to 231,850.74, 319,957.35 and 135,052.13 is: 186,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,850.74 : 319,957.35 = 135,052.13 : x
  2. Step 2: Convert to fraction form
    231,850.74/319,957.35 = 135,052.13/x
  3. Step 3: Cross multiply
    231,850.74x = 319,957.35 × 135,052.13
  4. Step 4: Simplify right side
    231,850.74x = 43,210,920,026.87
  5. Step 5: Solve for x
    x = 43,210,920,026.87/231,850.74
  6. Step 6: Final answer
    x = 186,373.87

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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.