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Finding the Fourth Proportional to 77,084.89, 115,535.30 and 39,662.89

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Solution

The fourth proportional to 77,084.89, 115,535.30 and 39,662.89 is: 59,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,084.89 : 115,535.30 = 39,662.89 : x
  2. Step 2: Convert to fraction form
    77,084.89/115,535.30 = 39,662.89/x
  3. Step 3: Cross multiply
    77,084.89x = 115,535.30 × 39,662.89
  4. Step 4: Simplify right side
    77,084.89x = 4,582,463,407.86
  5. Step 5: Solve for x
    x = 4,582,463,407.86/77,084.89
  6. Step 6: Final answer
    x = 59,446.98

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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.