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Finding the Fourth Proportional to 258,668.60, 388,061.28 and 78,770.12

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Solution

The fourth proportional to 258,668.60, 388,061.28 and 78,770.12 is: 118,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,668.60 : 388,061.28 = 78,770.12 : x
  2. Step 2: Convert to fraction form
    258,668.60/388,061.28 = 78,770.12/x
  3. Step 3: Cross multiply
    258,668.60x = 388,061.28 × 78,770.12
  4. Step 4: Simplify right side
    258,668.60x = 30,567,633,835.49
  5. Step 5: Solve for x
    x = 30,567,633,835.49/258,668.60
  6. Step 6: Final answer
    x = 118,172.96

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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.