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Finding the Fourth Proportional to 258,716, 388,074 and 71,727.50

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Solution

The fourth proportional to 258,716, 388,074 and 71,727.50 is: 107,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,716 : 388,074 = 71,727.50 : x
  2. Step 2: Convert to fraction form
    258,716/388,074 = 71,727.50/x
  3. Step 3: Cross multiply
    258,716x = 388,074 × 71,727.50
  4. Step 4: Simplify right side
    258,716x = 27,835,577,835
  5. Step 5: Solve for x
    x = 27,835,577,835/258,716
  6. Step 6: Final answer
    x = 107,591.25

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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.