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Finding the Fourth Proportional to 267,909.75, 401,923.40 and 78,386.15

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Solution

The fourth proportional to 267,909.75, 401,923.40 and 78,386.15 is: 117,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,909.75 : 401,923.40 = 78,386.15 : x
  2. Step 2: Convert to fraction form
    267,909.75/401,923.40 = 78,386.15/x
  3. Step 3: Cross multiply
    267,909.75x = 401,923.40 × 78,386.15
  4. Step 4: Simplify right side
    267,909.75x = 31,505,228,533.79
  5. Step 5: Solve for x
    x = 31,505,228,533.79/267,909.75
  6. Step 6: Final answer
    x = 117,596.42

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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.