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Finding the Fourth Proportional to 91,412.78, 137,054.76 and 35,205.80

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Solution

The fourth proportional to 91,412.78, 137,054.76 and 35,205.80 is: 52,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,412.78 : 137,054.76 = 35,205.80 : x
  2. Step 2: Convert to fraction form
    91,412.78/137,054.76 = 35,205.80/x
  3. Step 3: Cross multiply
    91,412.78x = 137,054.76 × 35,205.80
  4. Step 4: Simplify right side
    91,412.78x = 4,825,122,469.61
  5. Step 5: Solve for x
    x = 4,825,122,469.61/91,412.78
  6. Step 6: Final answer
    x = 52,783.89

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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.