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Finding the Fourth Proportional to 76,578.48, 105,684.90 and 42,593.64

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Solution

The fourth proportional to 76,578.48, 105,684.90 and 42,593.64 is: 58,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,578.48 : 105,684.90 = 42,593.64 : x
  2. Step 2: Convert to fraction form
    76,578.48/105,684.90 = 42,593.64/x
  3. Step 3: Cross multiply
    76,578.48x = 105,684.90 × 42,593.64
  4. Step 4: Simplify right side
    76,578.48x = 4,501,504,584.04
  5. Step 5: Solve for x
    x = 4,501,504,584.04/76,578.48
  6. Step 6: Final answer
    x = 58,782.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.