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Finding the Fourth Proportional to 76,805.48, 115,104.54 and 39,895.40

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Solution

The fourth proportional to 76,805.48, 115,104.54 and 39,895.40 is: 59,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,805.48 : 115,104.54 = 39,895.40 : x
  2. Step 2: Convert to fraction form
    76,805.48/115,104.54 = 39,895.40/x
  3. Step 3: Cross multiply
    76,805.48x = 115,104.54 × 39,895.40
  4. Step 4: Simplify right side
    76,805.48x = 4,592,141,665.12
  5. Step 5: Solve for x
    x = 4,592,141,665.12/76,805.48
  6. Step 6: Final answer
    x = 59,789.25

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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.