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Finding the Fourth Proportional to 258,184.80, 387,160.56 and 91,977.12

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Solution

The fourth proportional to 258,184.80, 387,160.56 and 91,977.12 is: 137,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,184.80 : 387,160.56 = 91,977.12 : x
  2. Step 2: Convert to fraction form
    258,184.80/387,160.56 = 91,977.12/x
  3. Step 3: Cross multiply
    258,184.80x = 387,160.56 × 91,977.12
  4. Step 4: Simplify right side
    258,184.80x = 35,609,913,286.39
  5. Step 5: Solve for x
    x = 35,609,913,286.39/258,184.80
  6. Step 6: Final answer
    x = 137,924.13

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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.