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Finding the Fourth Proportional to 258,538.56, 387,732.48 and 100,731.84

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Solution

The fourth proportional to 258,538.56, 387,732.48 and 100,731.84 is: 151,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,538.56 : 387,732.48 = 100,731.84 : x
  2. Step 2: Convert to fraction form
    258,538.56/387,732.48 = 100,731.84/x
  3. Step 3: Cross multiply
    258,538.56x = 387,732.48 × 100,731.84
  4. Step 4: Simplify right side
    258,538.56x = 39,057,006,138.16
  5. Step 5: Solve for x
    x = 39,057,006,138.16/258,538.56
  6. Step 6: Final answer
    x = 151,068.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.